Is connecting ps5 controller even possible at the moment?

for bluetooth hold Create and the PS button together until the light bar starts double flashing, then add it from the bluetooth settings in windows. it shows up as Wireless Controller. for non steam games ds4windows handles dualsense fine and makes it look like an xbox pad.

it is, it's just fiddly over bluetooth. wired is instant. one thing that trips people up on pc specifically: if you launch a game outside steam the pad often does nothing, because it's steam doing the translating - adding the game to steam as a non-steam shortcut and launching it from there usually fixes it.