Yes, but not by selling your program. There is already a lot of high quality compression software that is free and open source. It is hard to compete against that.
The way I made money in compression is by giving my software away as open source. This got the notice of companies that are willing to pay me good money to write software for them. That software is usually specific to specialized or obscure formats where you can do better than general purpose programs like PAQ or SR2 (depending on whether you want size or speed

).