There are several alternatives, including working over the base. If only one hole has been drilled, you can simply move the base so the old hole is covered and re-drill. This gets trickier if all the holes have been drilled crooked because the rifle barrel/receiver will look like swiss cheese if the base is removed.
Another possibility is using a different base with different hole spacing. Just inserting a screw and redrilling will usually work if you are using a milling machine or a very stiff jig and if the screw is soft and the drill is stiff. Otherwise, the drill will try to follow the edge of the screw, with bad results.
If this is a personal project, anything goes that works. But a professional gunsmith has a problem. If someone else did the work, he needs to have a talk with the customer and discuss options. If he goofed, the best thing is to fess up and offer to repair or even replace the gun.
I remember a Winchester Model 71 (.348 Win.) that came in for sighting in. I happened to notice what looked like the edge of a hole peeking out from under the side mount. I asked the customer to wait while I pulled off the mount. There must have been at least 15 holes in that receiver! The "gunsmith" who put it on couldn't get it sighted in, so he moved the mount, still couldn't get it sighted, and so on. The customer finally took it back and brought it to us to sight in.
The last I saw of the customer, he was going out the door, red-faced and steaming, headed for the other shop. I never heard of that gunsmith being murdered, so I guess it didn't get that far, but it does illustrate what not to do and not to panic and start doing irreversible things.
Jim