Was harry tied up in the Goblet of Fire?

No, Harry was not tied up in the Goblet of Fire. He was selected to compete in the Triwizard Tournament by the Goblet of Fire, which was magically enchanted to choose the champions.

The Goblet of Fire is a magical artifact that chooses the participants for the Triwizard Tournament, an extremely dangerous magical competition. It can only be tricked by a participant under 17 years old, or a participant with an altered age, as Harry was.

While he was ultimately forced to compete against his will, he wasn't physically tied up or imprisoned by the Goblet of Fire.