Changing birth control methods

Ok guys so I’m currently on rigevidon (combined pill) and I’ve been told to reconsider my contraceptive methods because I get migraines and they’re not suitable with oestrogen. I’m considering the implant as that’s the only method I’d feel comfortable with. Could I just stop my pills mid pack? I’m going to phone my doctor tomorrow and ask about getting the implant, can I stop my pills and then get the implant a few days/ weeks after?