No. Deku's father hasn't been shown yet, but he has a fire-breathing Quirk. I doubt that All For One would conceive any children. It just doesn't seem like him.
Fans and theorists have speculated over who Izuku's father could be. A popular theory is that Shigaraki, better known as All for One, is Izuku's father. The idea sounds like a stretch at first, but it's not as impossible after breaking down all the details and facts as some might think.
Given how the plot is being discussed this late in the story, it could be a hint towards the identity of Deku's father, Hisashi Midoriya, being a heteromorph himself. The manga is currently focusing on the struggles a heteromorph faces through the perspective of Shoji.
Unnamed Fire Breath Quirk: Hisashi's Quirk allows him to breathe fire.
Deku is the ninth in the line of One For All Quirk possessors. Based on the Boku No Hero Academia manga, we know that All Might once told Izuku Midoriya that what took place in his dream in the season 4 finale wasn't possible.
After 369 chapters of My Hero Academia, Deku can finally truly call One For All his own Quirk as he unleashes its full power for battle.
Deku's final quirk is known as 'gearshift'. It's a quirk that is activated via physical contact. It allows the user to change the velocity of anything they touch, meaning they can spontaneously slow things down, or speed things up.
One For All is one of the strongest Quirks in My Hero Academia, if not the strongest. It allows the super to stockpile incredible amounts of power within their body which, when released, grants a tremendous boost in power.
According to Deku's mother, the inherited quirk Deku should've naturally received would've either been his father's quirk, breathing fire, or her own ability to levitate small objects.
As of now, Deku has access to seven Quirks, namely One For All, Transmission, Fa Jin, Danger Sense, Blackwhip, Smokescreen, and Float. The basic gist of all these powers is that they all come from the previous One For All users, with their abilities becoming stronger throughout the generations.
In Episode 1 of My Hero Academia, it's revealed that Deku's father has a firebreathing quirk while his mother has a quirk that lets her float small objects toward her.
In the world of My Hero Academia, little is known about Deku's father, but he does have a name: Hisashi Midoriya. At some point in his life, Hisashi married Inko Midoriya, who gave birth to their son, Izuku. Hisashi is believed to have taken up work overseas, but his current location and occupation remain unknown.
Mother of the famous and beloved Izuku Midoriya (aka Deku), Inku deserves so much love for her role. Some fans have taken a real inkling to her, which explains why there is so much fan art out there surrounding her. Others seem to be blissfully unaware of her presence the moment she's off the screen.
Yoichi was the younger brother of the powerful villain, All For One. He was initially believed to not have a Quirk, but in reality, he had a Quirk with no other power than that it could be transferred to another person.
The thing is, he's mostly absent from his family's life because he works overseas, and since the story of MHA happens in Japan, we never had the opportunity to see him yet.
When compared to the rest of the Quirks, One For All stands out as one of the strongest abilities to ever exist, and it is the very nature of its creation that's become the true source of its power.
The first person to manifest a Quirk was a newborn baby in the city of Quig Quig, China, who had the ability to emanate light from their body.
In the My Hero Academia manga and anime series, it is revealed that Izuku Midoriya's quirk was not stolen by his doctor. Does Midoriya actually have a quirk? …and it appears to be hereditary.
1 Shigaraki
All For One is arguably the rarest and most powerful Quirk possessed by any villain in My Hero Academia. This Quirk so thoroughly defines its bearer that he's taken it as his name. All For One's Quirk lets him steal Quirks from other people and use them as though they were his own.
During his time as the Number One Hero, All Might fought All For One twice and managed to defeat him during both encounters. Without a doubt, he's far stronger than Izuku Midoriya.
Izuku Midoriya may not have a Quirk, but he does possess something unique - He's an immortal Ajin, incapable of death, even if he is shot through the head, or stabbed through the heart.
Life Force, All For One, One For All, Fa Jin, Gearshift, and the unnamed Luminescence Quirk are the oldest known Quirks in the series.
In the My Hero Academia: World Heroes' Mission movie, Deku is certainly framed as a villain. He's falsely accused of mass murder by Otheon's chief of police and is forced to go into hiding with Rody Soul. By the end of the movie, they both manage to clear their names and remove their villain image.