Without a condom? HELP

Alex
My boyfriend and I have been having sex pretty regularly and I am not on birth control, so we make sure to use a condom. He wants to try it without a condom (I did with my ex boyfriend a few times because we had been sleeping together for almost 2 years and knew each other's bodies and were very confident in the pullout method during less fertile times in my cycle). He was a virgin before me and I don't fully trust his ability to pull out quite yet - is there any point in my cycle in which he can finish inside me without getting me pregnant? Keeping in mind that I am not on birth control.