Ultimately, it depends upon the bike, and where you plan to drill. You haven't provided that information. So I'll say there is a 95% probability that the answer is NO, unless your frame is carbon, in which case the answer is 100% NO.

Nearly every bike that has bottle cage mounts uses reinforced bosses brazed, welded or molded into the frame. This provides reinforcement to compensate for the increased stress around the holes. And it provides enough material thickness to have enough threads to avoid stripping them when tightening the cage bolts. If you just drill and tap into the frame, there is a good chance the threads won't hold, and the possibility that your frame will develop fatigue cracks at some point, especially if it is aluminum or titanium.