My personal opinion is not unless you have enough contacts to hire you in the "biz." There is nothing wrong with maintaining your financial stability while building relationships. The key is to find the time to build new relationships and maintain them while in a job. You are basically using the same time management skills you'll be using once you're working regularly in the entertainment industry, and need to maintain your relationships while you're working.
If you have more questions about breaking in and who to target, let me know.