Could I be?

My last what a call a proper period staring on the 30th of may. Since then when my next period was due i experienced a day or so bleeding very light. I'm not on any birth control anymore as the pill did not agree with me. We have been using the pull out method ( not reliable I know) I'm too worried to take a pregnancy test as my partner doesn't want children at the moment. What are the chances that I could be pregnant?x