Can you and is it a good idea to work again for a Temp agency that you mentioned in Unemployment as your last?

I wrote in my Unemployment process that that was the last company i worked for because ';i wanted to find a full time job on my own and that they had no jobs at the time.. But now they seem to have more jobs and being that i've been unemployed for a while, i want to try and get a job from that temp company. I wonder if they will be mad at me and not want to help me, but if they do, is it ok to take a job from them?