Yes you can. You dont have to cool to breed. You can also breed year round. The first thing you have to find out is when the female bred last. Also you need to know is she a fall breeder. Alot of times a female that has bred before will keep breeding on that schedule. Even after taking a year off. But if she has only bred once its alot easier to get her on a different schedule. I breed all year round by setting my girls up in groups. My fall girls breed in the fall every year, my spring girls stay on the spring schedule and the summer girls stay on their schedule. My males will breed whenever as long as they continue to feed them
I do pretty much do the same thing. I also have girls that have laid already this year, some in Spring, summer and fall. I always believe you should watch your female, not the calendar, they will tell you when THEY are ready