Technically, yes you can get away with this. However, if any incidentals are placed on the room, your friend who is the credit card holder will be responsible for them. Don t cause any attention to be drawn to you (by being loud) and you should be fine.
You could probably get your parents to pre-pay for the room. Why don t you contact the Wyndham directly and ask their about their check-in policy. I m sure they re happy to have the business.