Short answer: NO
Now for a long winded NesikaChad dissertation:
For almost as long as folks have been bedding rifles there's existed a procedure for inspecting it that involves a mag base indicator holder. You stick it to the barrel, touch the forend of the stock with the indicator and loosen the guard screws individually to see how much deflection you have from fully torqued to static with no tension.
The magic number to stay inside of is .001" and if your diligent and thorough you can cut that number in half. The film thickness of a coating is applied pretty dern uniform. I've checked everyone before and after bedding/coating/final assembly and I've yet to see a difference on the indicator or on paper.
This is over literally hundreds of guns and a decade of hands on experience.
Take it one step further and we'll really get down in the mud. Any of the better epoxies have a shrinkage percentage that hovers between one and two percent. I write all my own inlets with CAD software based off the individual action that I happen to be working with at the time. I use CNC equipment to machine them as surface models. My bedding film is .05" thick from one end of the inlet to the other. The exception is behind the recoil lug where I fatten it up a bit more to better tolerate the hammering it takes.
So, lets do some simple math. one percent of .05" is .0005". I'm sure there's a bit more to this, but lets just keep it simple for the time being. IF that is indeed the case then the action has a total clearance of .001" from a diameter perspective. I come to this conclusion because the epoxy is going to shrink and pull away from the receiver as it cures, there should be a theoretical .001" difference between the outside diameter of the action and the inside diameter of the bedding inlet. Meaning the "gap" got bigger and the action would in theory have "wiggle room" now. In practice anyone will tell you this is BS because of how snug an action can fit in a stock once its bedded.
But lets move forward anyway just for fun.
Lets say your coating is .001 to .0015 in film thickness which is a pretty accurate and fair dimension for the bulk of coatings out there. Using this figure Your only talking a difference of .0005" to .00075" per side.
To put this in a little different perspective the fit between the pistons and wrist pins on a 700+hp 13,000rpm NHRA Competition Eliminator (C altered) engine aren't held to a tolerance this close. ( I know because I used to work for a very successful team's engine builder in S. Cal in the early 90's as a machinist)
It's far enough "in the mud" that you can find it mathematically, but I can promise you you'll never see it in a million years on paper. There's too many off the shelf guns with no bedding to speak of that shoot just fine.
Hope this helped.