I take it by compile you mean "deploy a new version of the code"?

To recompile procedures in another schema you need the "alter any procedure" privilege. To compile a new version you need "create any procedure". These both allow you to create and alter all non-SYS procedures!

So the simple answer is no.

The complicated answer is you can by creating a procedure in schema A. This accepts the new code and executes it using dynamic SQL. Then grant schema B execute on this.

But this opens up a security hole. If the procedure in schema A accepts any code, user B can do whatever they want in schema A! You need very careful design to ensure B can only change the package you want.