Maybe some states you might need a license, but in general, no. However, its a lot of background work to get into breeding QUALITY cats. Here's some basics.
First, if you are serious about the breed, the only reason to breed is to IMPROVE the breed and show your cats. If you are breeding to make a little money, to produce just cute, pretty, pets, then don't even think about it. You need to have money to do genetic testing in the breed (some breeds are prone to certain blood or physical problems and should be tested before breeding). You need money for vets, food, showing, and caring for kittens for the first 3-4 months. Kittens should not be sold or placed before 12 weeks old as they need important time with mom/siblings to be mentally and physically ready to leave.
I would strongly suggest you not take a male for breeding as your first cat. Males are tricky. They will spray and will need separate quarters where you can wash the room easily. They need at least 3-4 females to be kept happy for breeding. If this male is SHOW quality or has been proven, that's great. But if he's never been in the show ring, how do you really know the quality.
I would purchase a SHOW quality altered cat and start by showing and learning about the breed. Will tell you that Maine Coons are popular in the show ring and the competition is very tough. So you have to have a very very good quality cat to start. Then as you learn more about the breed, you can work with a Maine Coon mentor and purchase a show quality breeding female. Grand her and then look for a good male to breed her to. You need to know the standard so you can access what is the good/bad points - what is show, what is pet and why.
You have to establish yourself with breeders as a serious person, not as someone that only wants a few litters and quits. Its hard work, it takes a lot of money to get to the point of breeding your own lines, and it takes TIME. Most people that are serious will take about 5 yrs before they are ready to begin breeding cats.