No. There are basically two parts to your code that you want to protect: the algorithms and the copyright. If your hosting provider's terms of service are anything resembling sane, then keeping your code on their site isn't doing anything to compromise the copyright, and anyone willing to steal your code outright in manner that violates the copyright isn't your competition.

Most applications don't use or require any algorithms sufficiently innovative to be worth protecting. If you're in the minority, then you should be a lot more concerned about your former employees than your hosting provider. It might be worth getting a patent, but really the odds of having your ideas stolen by your hosting provider and then sold to competition and having this result in a meaningful loss to your company are probably orders of magnitude smaller than your odds of getting struck by lightning.