Can the Uwing pivot away from a Buzz Droid Swarm on its front?

I wanna say yes. The Swarm stays on the play mat, while the ship repositions.

...kinda?

The swarm will still be at range 0 after the reposition, but it was not moved through or overlapped so it stays in base contact wherever it was before, and can be moved awar from the following turn.

no. as @thespaceinvader points out, you'll still be at range 0 of the buzz droid swarm even if you rotate. you'll have to move again to get away from the swarm.

This is something I'll need to experiment with just to confirm that the buzz droid token remains at range zero, but I concur with @thespaceinvader . The token should still be in contact with the base after the rotation.

16 minutes ago, AceDogbert said:

This is something I'll need to experiment with just to confirm that the buzz droid token remains at range zero, but I concur with @thespaceinvader . The token should still be in contact with the base after the rotation.

Correct. However, as @thespaceinvader says, it's not overlapped even though it's still at range 0, so won't move to the front guides and the U-wing can fly off freely next turn (assuming it survives)