I do not know for a fact, but I wouldn't think there is a single chance in hell that living in an environment with 1/6th of the gravity we've got on earth would not cause long term effects in your health, specially to the bones and muscle.
If you did have viable babies in low (not zero) gravity situations though, would you in fact be starting a new species.
* Like 100.000 years, probably more. (From the split of us from chimps 5.000.000 I counted like 30 species in https://en.wikipedia.org/wiki/Human_evolution , but the number depends a lot on who count them.)
* Isolate the populations so they can't interbreed (first because they can't meet and later becuse the dna is incompatible)