is it possible
The size of the door must coincide with the rough opening. No way to fake it.
Honestly, I don't consider a garage door a DIY project. (and I consider most things DIY projects). There are too many tricks to doing it, and there are too many safety concerns. I once saw people cleaning up a bloody mess after a jobsite accident with a garage door. A framer was removing the torsion bar assembly to gain access to work on a framing problem. The bar, under spring pressure, literally removed his entire lower jaw.
If you can take that door back, I'd suggest doing so. Contact a garage door company (not a box store...too expensive) and get some bids for the rough opening that you want. You might be surprised...Garage doors aren't always that expensive.