No. As an example, the military specifies .30 caliber barrels at .3065" to.3095" groove diameter and bullets at .307" to .309". So they allow for up to 0.0025" interference fit to be normal, and don't even change the load specs for it.
A number of experiments have been done over the years to check pressure rise with bullet diameter, and they tend to show, as long as a bullet isn't so fat it causes the case neck to have trouble chambering, that once it starts swaging into the lands its pressure doesn't go up a large additional amount. Just don't load one too fat to chamber freely. I don't like anything over 0.002" diameter, because accuracy starts to fall off. I get that information from shooting cast bullets, but presume it applies to jacketed ones.
P.S., see MKL's post,
here, on P.O. Ackley's experiments firing 8 mm (.323") bullets down a .308 bore.