Fertile Myrtle here - You most certainly can get pregnant just after stopping the pill. I had been on the pill almost consistently for 15 years. I stopped taking them in the third week of September and missed my October period. So, I got pregnant on my first cycle. I was really happy as I was 37 years old then and I wanted to get pregnant ASAP. It took a little of mental adjustment as my primary care physician told me it would take a while for me to get pregnant.
I hit the 23 week mark today and feel great. I can feel little fluttery kicks and a lot of movement. It is fun.