Oh yeah! I only fly with a Xbox controller (technically a Logitech X-Input enabled controller).
I bind the "Action" triggers to the L bumper, start, select, and R bumper. The D pad does Map, Both chats, and I forget what I set the other one to. Never use it.
Other than that, one stick is look, one is up/down/left/right/forward/back. "Use" is B, Throttle is X/Y, and I think A is jump. The Right trigger is "Hit"/"Shoot".
But I switch to mouse for engineering or gunning. Superior planar response and all that.
Play around with the keybindings in "Options" and figure out what you like. By default it does a 'move through' thing with your items which is terrible.
I spent a while activating moonshine just to move to hydrogen. So glad I figured out my customizations.