Yes, you can. Name, surname, patronymic can be registered as a trademark, brand.
The procedure for registering the rights to names and surnames in Ukraine is no different from the usual registration of a trademark. The only thing worth paying attention to is:
1) the language in which you want to register such a brand or trademark (according to the legislation of Ukraine, it can be any language);
2) determine the types of services or goods for which you would like to obtain legal protection and the exclusive right to a name, surname, nickname;
3) the verbal part in the form of your full name or initials can be registered in the form of a logo, i.e. simultaneously and in combination with an image, drawing, design.