Yes he can. His sharingan enables him to see the hand seals movement of the enemy, where then he do the same seals, thus copying the jutsu. However, during Naruto's training of Rasen Shuriken, he told Naruto that he can copy the Rasengan but only up to the level where the Rasengan is on the palm in its sphere form.
OK you are wondering whether kakashi can still use the copied jutsu without his sharingan, and thus as hokage and later on. Yes, he can!
Kakashi is a master of over a 1000 jutsu but these are some of his rarest techniques. Kakashi Hatake is one of the most powerful characters in the Naruto world. Known to have been a prodigy from a very young age, Kakashi grew up to become one of the very strongest ninjas to have ever existed in Konohagakure.
In Naruto episode 3, is the '1000 years of death” jutsu Kakashi used on Naruto an actual jutsu? - Quora.
After Obito dies, he temporarily allows Kakashi to use both of his eyes spiritually, allowing Kakashi to use both aspects of Kamui and the Perfect Susano'o.
There is no doubt that Kakashi is quite strong despite the loss of Sharingan. He is by no means weak and can hold his ground against tough opponents. Whether it be his ninjutsu, taijutsu, or shuriken jutsu, Kakashi has mastered them all.
Clamp's head writer Nanase Ohkawa originally created Kamui during high school as character in a story involving warriors fighting for justice.
A very simple technique with an over-dramatic name, One Thousand Years of Death is little more than inserting one's index and middle fingers (similar to the Tiger hand seal) into the opponent's rectum, causing constipation, pain and/or embarrassment. It has no effect on unconscious targets.
Kamui Raikiri is the strongest known Jutsu of Kakashi Hatake. Combining the powers of Kamui with that of a Raikiri enhanced with Six Paths chakra, Kakashi was able to create a surefire technique powerful enough to injure even the likes of Kaguya Otsutsuki.
However, during Naruto's training of Rasen Shuriken, he told Naruto that he can copy the Rasengan but only up to the level where the Rasengan is on the palm in its sphere form. He cannot copy beyond that despite the fact that Rasengan is not a Kekkei Genkai jutsu.
Sharingan. Kakashi's Sharingan. Kakashi's most distinguishing ability was the Sharingan in his left eye-socket that was given to him by Obito Uchiha.
Although speed isn't Kakashi's forte generally, after receiving the Six Paths chakra from Obito Uchiha and getting access to his Mangekyo Sharingan, he was easily among the very fastest in the story.
Famed throughout the world of shinobi as the 'Copy Ninja', Kakashi has great fighting skills and is undoubtedly one of the strongest characters in the series. He once wielded the Sharingan as well, and as his moniker suggests, he has gone on to copy over a thousand Jutsu.
A ninja's strength and skills are tied to their proclivity with Jutsus, whether that's Ninjutsu, Taijutsu, or Genjutsu. As it happens, Kakashi knows a lot of them. Because of Kakashi's Sharingan, he can copy the Jutsus and techniques of others with ease.
Pre-4th Ninja war Kakashi obviously didn't have sage mode. But i think at some point in the 4th Ninja war, He acquired 6 paths sage-mode. This through the “gift” of Obito.
Kakashi isn't even faster than lightning during Part 1, neither are his Genin.
1) Madara Uchiha
This man was able to tame tailed beasts which really showcased his strength. As a child, Madara was able to awaken his Sharingan with one Tomoe in each eye. His mastery of the Sharingan and jutsu capabilities makes him far stronger than Kakashi.
The Chidori was created by Kakashi Hatake after he failed to apply his lightning-nature to the Rasengan. He intended for the Chidori to be a weapon used only to protect friends and loved ones.
1 Kaguya Otsutsuki
Thanks to Obito's chakra, Kakashi was able to gain incredible powers, such as the Susanoo, temporarily and overwhelm Kaguya in a fight.
3 Minato Namikaze
It was during this war that Minato famously defeated 1000 shinobi from Iwagakure, eventually forcing a peace treaty, as seen in the anime.
1 Kaguya Otsutsuki
Kaguya ruled without any resistance until her sons rebelled against her. The fight between them lasted for a very long time, and eventually, her two sons managed to see her away forever. There is no doubt that Kaguya is the oldest character in the Naruto series.
16 Naruto Uzumaki
In part one of the show, he is between 12 and 13 years old, while in part two, he goes from 15 to 17 years old.
The Susanoo was first introduced by Itachi Uchiha as his ultimate trump card against Sasuke. With time, many others displayed the power to use the Susanoo as well. Although it can be awakened by every Uchiha with two Mangekyo Sharingan, its powers differ from user to user.
Madara cant use Amaterasu nor can Kamui since his eyes do not grant that ability. Kamui is Obito's ability (in both eyes) and Amaterasu is Itachi's (left eye) and Sasuke could use it only because Itachi gave it to him just before he died (Sasuke left eye also).
A kamui is a spiritual or divine being in Ainu mythology, a term denoting a supernatural entity composed of or possessing spiritual energy.