False positive??

I was on birth control combination pills for many years, I switched for 6 months to the mini pill and had no periods for 5 months. Once I stopped them I didn’t have a period for 2 months (tested every other week and was negative). I finally had a big period June 10-15th. Now it’s June 19 and the first day of my “fertile window” and I took a test just because and it’s positive”. I will test again but it that possible to have a 5 day period and test positive just 5 days after?