No. Grammarly gets no ownership rights to your text.
By using Grammarly, you are giving us a nonexclusive license to use your content in connection with providing our services. In other words, you’re giving us formal permission to provide writing suggestions to you and to use your writing to improve our algorithms. You remain the owner of your content.
Please see more information in the "Your Ownership of Your Data and the Limited Permissions You Give Us" section of our Terms of Service.
We value the trust our customers put in us to keep their information safe and secure. Visit Grammarly’s Trust Center to learn about our user-first approach to privacy and security.