I think so, After all he did invent Rasengan
remember the word of the great sage "the sage mode is not just meant for anybody its because its Naruto snd jiriya"
or wat tsunade said
jiriya was the only one in the village to master the sage mode
I don't think it's got to do with chakra, anyone can master it after all you absorb chakra.
The process is very risky so no one attempts at it, you could die.
You also have to go to Mount Myoboku and no human actually goes there. Jiraiya stumbled there by accident, Naruto's case was an emergency and also they believed he was the child of prophecy.