Sure, but then it's easier, and you can just keep clicking around by trial and error without thinking about it, which is a boring way to play.
1. I feel like “trial and error” is often not a great way to solve puzzles. If you can brute force your way to a solution, that’s usually a sign of poor puzzle design. To be clear, I’m not saying whether this one is easy to brute force, just saying if it is, that’s a different problem.
2. Even if brute force was a viable option for solving, an easy fix is to have a “submit” button when you think you’ve solved it (and that can track strikes for invalid submissions).
This is how most of Simon Tatham’s puzzles work, and that works well.