Can I restart taking the pill without getting a period??

I started taking the pill last August. Before then, I had fairly regular periods, though sometimes I would be a few dates late/early. I also suffer from PCOS. Last month, I lost my packet of pills and missed three days and ended up getting my period. I decided I would wait till I got my next period to start a fresh pack. However, I am three days late. This isn’t unusual but I’m wondering if I can start a new packet of pills without getting my period?