Does Silver Chloride react with Copper Bromide in a solution to give Copper Chloride and Silver Bromide?

Silver chloride is notorious for being insoluble in water, with a Ksp of 1.8e-10.

Without significant ionization, no reaction will occur.

Addendum:
If you have a solvent that can dissolve both silver chloride AND copper bromide but cannot dissolve silver bromide OR copper chloride there will be a reaction in which the ions will be exchanged and a solute will be formed. Of course, there doesn't seem to be such a solvent, (if there is, I don't know about it).

Thus, if you REALLY want to form copper chloride and silver bromide from silver chloride and copper bromide you will need more than one reaction to do it:
1) You need to separate the silver chloride using heat. (a lot of heat)
2AgCl ? 2Ag + Cl2

2) React the formed chlorine gas with copper bromide. Since chlorine is more reactive than bromine the chlorine will displace the bromine .
CuBr2 + Cl2 ? CuCl2 + Br2

3) Collect the bromine and react it with silver metal
2Ag + Br2 ? 2AgBr