Question

If I had sex on Sunday January 3rd and on Wednesday Jan 6th. I went to my doctors appointment today to check my iud and my iud was almost out of my body so the doctor just took it out. I am not on any form of birth control. Do you think I could be prego? I am going to start birth control pills when and if I get my period this month. Me and my bf are going to use the pull out method when we have sex.