This is a good question. The other people answering are misunderstanding your question to be, “am I allowed to change the order of the SAT” (the answer is no).
But your question was, “can changing the order affect performance?”
The answer is ‘yes.’
Mental fatigue on the test is a known issue. By addressing a more challenging section sooner, you may be able to do better on the overall exam.
And, if the SAT follows the steps of the ACT, then you may soon be able to take single sections at a time. So your question may be more valuable than you realize.