Not to state the obvious, but yes that could make it too big to go into the hole without heat and/or cooling or both or the use of force.
"fits" can vary greatly and I do not know the specs for your application. The specs would be the first place to start.
Hopefully this will help you a little bit, with some definitions. I just googled them to find some quick definitions for you.
1) Clearance fits for when it may be desirable for the shaft to rotate or slide freely within the hole, this is usually referred to as a "sliding fit."
2) Interference fits for when it is desirable for the shaft to be securely held within the hole, this is usually referred to as an interference fit
3) Transition fits for when it is desirable that the shaft to be held securely, yet not so securely that it cannot be disassembled, this is usually referred to as a Location or Transition fit.
Within each category of fit there are several classes ranging from high precision and narrow tolerance (allowance) to lower precision and wider tolerance. The choice of fit is dictated first by the use and secondly by the manufacturability of the parts.