Yes, you can do it with the help of an epoxy glue or with a filler. To start off, wipe down any broken pieces with acetone in order to remove any foreign materials. This is to make sure that the broken piece would rebond perfectly with the rest of the marble. Don't add any bonding material on the surface of the marble. And when the sticking the broken piece to the rest of the marble, make sure to apply the right amount of pressure for the right amount of time.