No Stop limits can be used to buy to open or sell to open. It doesn't have to be a closing trade. We have momentum traders that set the buy stops at new highs. Here is the order ticket on LS trader to buy 500 shares of AAPL at 210.00, with a limit of 210.25. All that is left is to hit buy.
They are called Stop Limit orders https://www.investopedia.com/terms/s/stop-limitorder.asp and "The stop-limit order will be executed at a specified price, or better, after a given stop price has been reached. Once the stop price is reached, the stop-limit order becomes a limit order to buy or sell at the limit price or better."
The time to be in the trade is before the move, not during the move, especially near the open. Because once you see it, you're most likely going to get a terrible fill with any order type, and you'll just become somebody's lunch. Or breakfast.