If you have been told the A/C compressor is leaking then a new or
rebuilt compressor is needed.

As to fixing this A/C compressor, yes it probably can be done locally
but that cost may exceed a new compressor. Local shop rates are higher
than factory labor rates and the factory has the efficiency advantage of
mass production - knowledge, tools and parts vs. one time learning, tool
acquisition and parts sourcing. Few parts are actually repaired, most
are replaced for this reason and due to their increasing complexity.

It could be just the seals where the hose connects to the compressor is
leaking. You can buy rebuilt compressor for real good price if you buy
direct from rebuilder... about half of wholesale price online part stores of
the rebuilts..