The answer is yes only if you have the right equipment for it. For example, you can use a mill to drill the hole first into the plate and then into the ball. However, the steel ball bearings are most likely case-hardened that cannot be drilled with standard drill bits. In that case, you can use a grinder to grind a small flat spot to drop the ball into it, tighten the clamps, and drill the steel balls. You can also tap the ball with this setup. This is one of many applications to drill the bearings. You can search more and use the one most suitable.