Naruto is an Uzumaki and not a Senju and although related I don't believe Naruto's blood is pure enough... however, If an Uchiha had a child with a Senju, in theory, it should be possible for them to awaken the Rinnegan.
because uzumaki and senju are related there would probably be a very small chance by that i mean maybe a 0.03% chance but thats just a guess depends on how close they are but there should always be a small chance since its in the clans dna unless kishi gives us details on that we may never know
no, it's not uchiha and senju that makes rinnegan it's older plus younger son that makes rinnegan
madara had to get an ems then dna from the strongest senju to awaken rinnegan
uchiha and senju is just watered down younger and older son their yin and yang chakra is not strong enough
I strongly belive that Naruto is a direct decendent of Senju(from his fathers side),,,,so there is a chance but It isn't as easy as we thought..................
I think Naruto's Uzumaki genes are pretty strong (and since Uzumaki clan are distant relatives to the Senju..) maybe if the child were to go through enough emotional distress he could awaken the rinnegan.