Can I apply for a new Non-B visa in Thailand without a work permit from my previous employer?

Danielle Oliveira asked in another thread

I have a valid Non-Imm B visa valid until January, 28th. I'm working for an European School and we're having a few problems since past few days. So I've decided to not apply for the work permit and I won't stay with them longer.

My question is: As I've got the work visa with this school and I’m not staying with them, they won't apply for a Work Permit, will I be able to work ever again in Thailand? Leave the country, come back and get another Non B visa with a different institution in the future perhaps? Beucase I saw at the Embassy that they require a previous work permit when people are asking for NonB Visa and I won't have one. Thanks!