Naruto can fly, and we saw this all throughout the Naruto VS Toneri fight.Naruto himself can't even fly
Given that Hinata was able to fly after getting Hamura's Chakra, why would you even say having Hagormo's chakra is the only way?the only way you could achieve Hagoromos ability of flying is by going rikudo mode
Given that Kaguya was shown flying, it's not a stretch to say Hagormo got his flying abilities from his mother, much like all his other powers. But what of Hamura? Did he also receive this flying ability from his mother? Well, given that he went to the ****ing moon in a time when there was and still is no such thing as space travel, I'd say, hell yeah he can fly.Naruto achived it only by combining his kyuubi mode with Hagoromo's chakra
Given that Hagormo's chakra grants Naruto flight, given that Hinata gets Hamura's chakra, and Given that Hinata is shown flying in the end, what shred of evidence do you even have to suggest she can't fly with Hamura's chakra when the evidence is rigth there in your face?
That's all you've got? seriously? It may be cliche romance, but it's still her flying, if she couldn't, animators would simply have had Naruto hold on to Hinata.them kissing near the moon is not proof of them flying it's just cliché romance bs :|