3.9.2: no piece can be moved if that exposes or leaves its own king in check.
That's a consequence of not being allowed to put yourself in check (by any means).
The only way to put yourself in check is by moving.
The only action you can ever take in chess is moving.
Did you mean putting your opponent in check? In chess, you are not allowed to put yourself in check.
You said “ That's a consequence of not being allowed to put yourself in check (by any means).” My point is that there are no other means.