I accidentally damaged the cover of my wedding photo album. Can I take it back to the photo studio and repair it?

You can give it to the photo studio and ask them to rework it. It can be repaired. But this is your own problem and you need to pay for it. The negatives mentioned above don't match at all. You broke the glass, not the photo. Of course, if you want to be on the safer side when you take it, provide the photo of the album cover at that time.