First off, a disclaimer. Trial and error is never, never, NEVER required to solve any Puzzle Baron brand logic puzzle! We specifically engineer and test our puzzles so that they can each be solved using pure logic alone.
That said, there's nothing preventing you from using trial and error when you can't find the next logical move. So if you get absolutely stuck on a puzzle and you can't find your way to the next true/false relationship, you can always give trial and error a try.