Native speaker here. This is incorrect - such tenses exist in english - I will have traveled - it in french - j'aurai voyagé - but not in Russian.

If you wanted to you could do something like convert a perfective verb into an adjective. So, я буду напутишествовавшимся - I will have been fed up with traveling. I think this is grammatically correct but certainly doesn't sound natural. It's rare enough to where this form brings up no results on google, but someone like наевшимся does have some results.

I would argue it's technically correct but no one would actually say it. Other natives, let me know if you feel differently, genuinely curious.