Yes, there are several websites that allow you to earn money by writing quotes. Some of these websites include:
Textbroker.com
Upwork.com
Fiverr.com
Freelancer.com
You can sign up for these websites and offer your services as a freelance writer. You can write quotes for clients, and earn money in return. Note that you may need to compete with other writers for projects, and that payment will depend on the client's budget and the quality of your work.