I would say No
'All Tournament character start with level 20, basic skills, and 20,000 gold on their bank account' Source April 14th, 2020
Since the character for the next Tournament will essentially be a new character, nothing will carry across. I looked for better confirmation of this on the Tibia website but couldn't find anything.
But if you actually did buy an experience boost I would suggest contacting the Tibia Support Board