My due date is feb 21 doctor told me I conceived may 31 I had intercourse around may 26 with the pull out method could I have gottn pregnant from tht?

Yes, indeed! Your doctor can only give a (very close) but not exact estimate of the date of conception. Only you know when and how often you had intercourse. As you may well have shown, the withdrawal method of birth control often leads to pregnancy. If you had more than one sexual partner, paternity may well be "up in the air." best wishes! dr. Tholen.