It is possible to remove the barrel without taking the action out of the stock.

First you must have the stock inletted enough for the barrel nut to clear as the barrel is unscrewed from the action. Probably at least another 2 inches. Most aren't.

Most scopes don't have enough clearance to just lift it out so you have to slide the barrel forward through the barrel channel. Will you have enough room to get that barrel nut by the objective end of the scope?