In theory, a different region could work, but you have to take the puzzle setup into account.
On "Beginner Puzzle (<150): Coronavirus", most of the target (segments 1-117) is locked. In most cases, the locking covers the backbone and the sidechain. Just a few segments have unlocked sidechains. These segments are considered good binding targets.
To see the likely targets, select all segments using control + a. The segments with moveable sidechains are highlighted in blue, while the totally locked segments are gray.
The higher-numbered segments (118-200) are the designable part, where nothing is locked, and everything is possible. Select all (control + a) will always highlight these segments.
To see segment numbers, hover over a segment and hit tab. This opens the Segment Information window, which shows the segment number and amino acid, along with scoring and other information.u
Just from a player perspective, you'll have a hard time getting the locked parts in segments 1-117 to interact with your binder in 118-200.
One note from a science perspective: Foldit doesn't talk about chains. Everything just a segment, numbered from 1 to n. On "Beginner Puzzle (<150): Coronavirus", would really be chain A, residues 1-117; the binder would be chain B, residues 1-83.
A few recipes are chain aware, such as "AA Edit", https://fold.it/portal/recipe/102879, and "print protein" (aka "TMI"), https://fold.it/portal/recipe/103314. These recipes have to figure out the N- and C-terminals by looking at atom counts.