[FrankJ]

You can put a lightly loaded bearing in a .09" plate. If there is a lot of load you would want to use a doubler plate to get more bearing area. The difference from a loose running fit (clearance) to a too tight press is less than a couple thousands of an inch on 5/8" dia. Not a lot more if you are talking about a ball bearing with a OD of 1.125 or so.
Most unpracticed people cannot measure that with a micrometer. Drill tolerance is way more than that. Reaming tolerance is more than that.

What to do?
1) Use a new quality drill bit. Clamp the work well Probably be a little loose. Use bearing mount loctite to take up the clearance. I am not sure how well that will work with thin plate.
2) Drill it undersized and use an adjustable reamer get the right fit.
3) Drill undersize & use a deburring tool to get the right size. Only works with relatively thin bores.