[Muffet nods, holding the jug of water out to Yuka with a smile.]

Ideally, yes- although you might want to be careful about leaving the desert. I'm not clear on the exact details, since I've spent all my time on this island over here, but some of the people who started out on the other side of the river have informed me that there's something dangerous about that half.

Regrettably, the more pleasant-looking area being some kind of trap does sound rather plausible for this place. Still, even if you'd prefer not to risk crossing it, you should be able to use the river from this side.