Yes, you can see evidence, but it isn't the angular misalignment you are picturing...
The aircraft does not crab relative to the airmass, it crabs relative to the earth. So, you will never see the contrail angled away from the aircraft's longitudinal axis. What you will see instead is the contrail drifting.
Observe the time lapse video linked below. You will see several aircraft starting at the top of the screen, traveling towards the bottom. The "wind" in this case is coming from the left, and the contrails drift off to the right.
Contrail Time Lapse Video Link
Each airplane is following the same ground track, and is crabbing some amount to the left in order to maintain the centerline of what is probably an airway. However, the contrails remain aligned with their fuselage and path through the airmass as they drift.