Yes it is possible. Your factory 275/60r20's are 33inches! A 35in tire is only 1 inch taller from either side of the rim. I think 35's are possible factory but may rub in a tight turn when shocks are compressed.
Also, a 275/65r20 are 34.05" tires. And they are alot cheaper! the 35" tires are usually 34.7-34.8" tall and with a heavy lug they wear down to 34"OD pretty quickly. Look into the 34" if you want a tire to last more than 30k miles!
I work for Goodyear so this is more than an educated guess. And BTW, the factory GY tires are made to OE or Ram specs. Not completely GY's fault for a cheap tire!