No, it does not have an oil hole. It would be easy to drill one, but it may not need it. John, you would know if it a pressure fed or drip/weep hole. I can't imagine they would feed pressurized transmission fluid there. The replacement bronze bushings I got from the local parts store did not have oil holes in them, but the ones from Brewers do.

I'll be pulling mine apart to change the driveshaft, gears and differential, and will check for any unusual wear since I installed it last year. It still runs and feels much smoother.