no....
his motives to become Hokage are for all the wrong reasons, he does not deserve the title and it is not just something he can claim
Sasuke does not "get it" still
Naruto still has to make Sasuke see the "truth" which will lead to the "final" battle of the manga
I wouldn't say it's for the "wrong" reasons but when Sasuke said that Naruto immediately recalled what Itachi said: ...It's the one who is acknowledged that becomes hokage.