IMO: Yes! You CAN implement a STOP LOSS on an option. However, you need to think thru what you want to happen, and what the practical limits may be. For example: you Sell a 30DTE Naked PUT on stock X, and next day, stock X drops 50 points, your buy back of your PUT will likely cost more than you would like (especially if your trigger was to try to exit if X drops by $3). First determine what you are trying to achieve and what all the risks are, then determine best way to manage that risk. I know no one that uses stop losses on options, since the poor liquidity tends to make it a very poor choice. Extremely liquid options, such as near month near the money strikes on SPY may be the exception.
To keep things simple, some folks merely size the trade according to their risk tolerance, and then just let it go, if things don't go your way. Another idea is to use a vertical spread, or other risk managed position to control your risk, rather than a naked PUT. Get burned once with a Naked PUT on a security that goes horribly wrong quickly, and you may loose your appetite for them!