I also write letters, e.g. cover letters.
Yes, it can be done.
No - I don't write them and yes - I can generate them for you. You write what you need and I limit my role to styling, formatting, and handling the complexities of pdf-generating software.
Use this text file for English, and this for Spanish.
One still needs to be well-versed in LaTeX or HTML in order to tailor to individual needs the content that Chat GPT generates. Moreover, Chat GPT generates only very generic writing that in most cases is not relevant enough to your career.
CV-generating websites provide you with just basic formatting. Such websites do not write your CV for you - you are expected to have your professional summary and other paragraphs of your CV already written in order to generate one for you. Moreover, such websites do not offer much customization. You might be interested in squeezing everything into a one-pager, getting rid of the picture from your CV, etc.