I don't think so. A nominee account is generally a custody account where your broker holds your stock. If your trading and you leave a stop order, they have to deliver the stock you've lodged with them, if you're dealing in physical shares.
As you're talking about being stopped out, I assume your trading marginned products (futures, CFDs, spreadbets etc). If CFDs or spreadbets, you don't own the underlying stock so there's no nominee account to hold them in. The CFD or SB provider takes the other side of your trade, so if you're stopped out then yes, they take the profit or loss on the position from the time you're stopped out.