Absolutely not. Sticker Town and Travel Town are two separate and non-integrated platforms. Sticker Town provides a system to help users find others for sticker exchanges; it has no access to or influence on Travel Town’s systems.
It is impossible to receive a ban on Travel Town due to the use of Sticker Town, as the two apps are completely independent. Your Travel Town account is therefore safe and unaffected by your use of Sticker Town.