If I move a component Up, in inspector, that changes its execution order?

If I move a component Up, in inspector, that changes its execution order?

No, the execution order is arbitrary. If you absolutely need to rely on the correct execution order of some scripts you can use the Script Execution Order Settings.

Or depending on what you are actually doing, you can simply use Awake and Update on the first script and Start and LateUpdate on the second.