I'm looking to get into trading the stock market. Now I know that with Forex it's possible to lose more than you invest if there's, for example, a huge swing in the market and the broker is not on time when canceling the trade at your stop loss.

Does anyone know if this is possible with stocks as well? I personally assume that it's not possible and that the biggest risk would be losing everything you invest, but I don't know if there are any hidden problems.
I also don't plan on using any leverage.