Yes. In the book 'Tatooine Ghost', Leia learns of Anakin's life prior to his evolution into the Darth Vader personae. This revelation leads her to forgive him. She even named her third child in memory of her father.
Although we never see Leia fully reconcile with the fact that Darth Vader is her father, it's worth noting she did actually forgive and accept the former Sith Lord in the non-canon Legends novel "Tatooine Ghost," by Troy Denning.
It wasn't until Bloodline that she began to truly understand Anakin Skywalker, in a situation where she too felt tempted. "She'd always wondered what had led her father to turn to the dark side," Leia reflected, "to become Darth Vader. She'd imagined it came from ambition, greed, or some other venal weakness.
Out of the two skywalker children, Leia takes most after Anakin and Luke takes most after Padme. Leia(anakin) is more bold/rash/valiant shown by being a general like anakin, she taunts darth vader and is quick of course to take action as shown after being rescued.
She finds it easy to accept Luke as her brother, but she is horrified by the idea Darth Vader was her father. Leia couldn't even understand why Luke accepted it so easily, and somehow believed there was good in their father.
Darth Vader didn't learn he had a daughter until Return of the Jedi, when he stood before Emperor Palpatine. The Emperor's power probed Luke's mind, attempting to goad him to fall to the dark side, and he discovered Leia's existence. "Sister," the Emperor taunted.
However, Leia's strong-mindedness during Vader's probe denied him the opportunity to discover she was his daughter. That serves to justify Vader's lack of awareness of his connection to Leia, although, perhaps, not as satisfyingly as if Lucas had planned for the relationship from the beginning.
At the end of the war, Bail Organa adopted Padmé's daughter Leia and raised her as an Alderaanian princess.
Similarly, her rebellious, rule-breaking and trouble-making nature resembled Anakin more than Padmé. However, both parents were adventurous and stubborn people. Thus far, her leadership skills are the one thing missing from Leia's portrayal in Obi-Wan Kenobi. It's well justified since Leia is still a child.
Now that she knew the truth about her parentage and her Force powers, Leia trained as a Jedi with Luke, honing her Force abilities and constructing a lightsaber. But she ended her apprenticeship after having a vision that her Jedi path would end with the death of her son.
Yoda didn't specifically know how this would go down, or to what degree Anakin would cause it to happen, but he was playing a much longer game by Revenge of the Sith, and that's at least, in part, explained by Yoda's Force connection with Qui-Gon's spirit.
It is unclear whether Yoda would be more or less forgiving than Obi-Wan but one thing is certain - the former Grand Master would be ready to treat Anakin as an ally, following the events on the second Death Star. In Star Wars: Revenge of the Sith (2005), Yoda never really lost faith in Anakin in the way Obi-Wan did.
In Star Wars Legends Leia was visited by the force ghost of her father Anakin Skywalker, the man who used to be Darth Vader. It wasn't a pleasant meeting as Leia was unable to forgive him for the things he'd done no matter how hard he begged, and it was the only time she saw him.
No evidence would suggest that Darth Vader knew that Leia Organa was his daughter the entire time. However, in the final battle with Luke Skywalker, he learned that Luke had a sister. But the important part is that it was never shown that Vader found out that this sister was Leia.
However, when they next met in Star Wars: Episode II – Attack of the Clones, Anakin and Padmé's feelings for one another grew into something resembling love, and their wedding at the end of the film solidified their relationship as one of the most important romances in Star Wars history.
She was already the youngest Queen of the planet of Naboo, and one of the youngest senators within the Republic senate, during the time of the Clone Wars. That is one of the reasons the mind trick theory can be proven as false. Padme falls in love with Anakin after spending much time with him during Naboo.
Padmé was born in 46 BBY (Before the Battle of Yavin) and Anakin's miraculous Force-created birth came in 41 BBY, so Padmé is five years older than him.
In order to hide the fact that Amidala's twins survived, her body was prepared to still appear pregnant. Her maternal grandmother, Ryoo Thule, oversaw Amidala's funeral, as per Naboo custom. Amidala's body in her casket as it is drawn through the streets of Theed.
With Leia's strong connection to the Force, it seems like the most likely solution to this inconsistency is that she's caught glimpses of her mother through Force visions. As Luke trains with Yoda on Dagobah during Star Wars: The Empire Strikes Back, the wise old master says, "Through the Force, things you will see.
At some point after his transformation into the armored Darth Vader, Amidala's husband, the fallen Jedi Knight Anakin Skywalker came to visit the mausoleum, stricken by grief and remorse for his part in her death.
In the post-2014 canon universe, the story that reveals Darth Vader discovering Luke Skywalker's identity (and thus the fact that the Death Star's destroyer is his son) is issue 6 of 2015's Star Wars comics by Marvel, which takes place sometime shortly after A New Hope.
Leia Organa-Skywalker
Leia Amidala Skywalker (portrayed by Carrie Fisher) is the wife of Han Solo, the mother of Ben Solo, the younger twin sister of Luke Skywalker, the daughter of Anakin Skywalker and Padmé Amidala, and the granddaughter of Shmi Skywalker, raised by Bail and Breha Organa of Alderaan.