No, not without taking off the wheel
I have a Giant Cypress DX 19" frame. I take the wheel off and back the bike in to the X3, (seat folded down ;-) ). BMW sells a bike kit for the storage hold down rails for a couple of hundred bucks to hole the fork in place.
06 X3 Silver Gray/Black / Sport / Prem / Step
05 Dolphin 5376, (that's 37' of fun)