Can i be pregnant if i had sex towards end of withdrawal week(no condom) of 1st month of birth control(pill) and starting the new pack 2 days late?

It is possible: It is impossible to get pregnant during your period. The withdrawal week period should be considered to have the same guidelines . Having said that your situation has some differences. You did not use condom in the first month and you started the new pack 2 days late. So, pregnancy is a possible and take a pregnancy test if you miss your next period .