Can I open an account, and drop ship the designs I see in the shop on Art of Where?

No. All the products you see listed in the Art of Where store are designed by artists, who have accounts with us and use our design labs! They own their artwork therefore we can't let other people sell it. They can choose to have an artist store on our web site, and receive commissions for their sales, or they can use another e-commerce platform and use our drop ship service.