I'm currently working on a cutting board. With a core box bit, I made rounded grooves close to the edges of the board. I would like to have bigger grooves on the corners. I'm thinking of using a bigger core box bit on my drill press to make the four corners. I'm trying to avoid my plunge router due to possible side movements while plunging. I would hate to scrap my work at this point. On my drill press I have no need of moving the board to make a groove, just a "plunge".
In short, can I use my plungable router bit on my drill press for a simple "drill" application.