Can you? yes, i mean it's physically possible but why would pre-workout be called "pre" workout if your taking it after your work out ?
It would just be foolish to do that because the pre workout wouldn't do anything for you. you would just be getting energized after your already done working out there would be no point.
take your pre workout supplement 10 minutes before you work out and take your post workout protein/supplement within thirty minutes after your workout. I recommend taking your post workout A.S.A.P. after your workout.