I don't think so, if you don't want to set up a Google account the alternative would be (if using Samsung phone) using a Samsung account/Microsoft account. I've tried using a phone without logging in to Gmail, but as soon as I'd want to Google search something it automatically asks to login.
Thank you for reaching out and welcome to the community. To make the most out of your Galaxy phone, it is recommended that you register for a Google account. By registering a Google account, you can access Google services such as the Google Play Store, Gmail, and Google photos easily. Follow the guide below to create or remove a Google account and for more information on the importance of having a Google account on your phone: https://www.samsung.com/latin_en/support/mobile-devices/how-to-create-or-remove-the-google-account-o...
