Depends who owns the car. If your BF has the title ( subject to financing, of course), he can insure it. If he doesn't own it, what you are proposing is fraud. He can't insure a car he has no legal interest in. And, if he leases it to you, that will make it a business transaction, and you wouldn't be covered. He would need a different kind of policy-
Are you willing to have him own it? Speak to your agent. Be frank, and see if there is anything you can do.You may want to increase your deductible, to save some money. If you want the car in your name, it is going to cost you. It didn't take a day to put a lot of points on your license, and it is going to take some time until they drop off. You may want to consider purchasing a used car and driving that, for a few years, because it will be cheaper to insure. Good luck, drive carefully, and stay safe.