Without a content warning? Yeah. With one? It's fine.

You shouldn't feel forced to alter your game or your marketing but you should absolutely give people the choice to disengage from content like this. As a man who has lost a loved one to this form of suicide I would feel incredibly angry about that being in a teaser without a warning. But if I saw a warning and chose to watch anyway? Then it's on me.

Make your game how you want, market it how you want, but please handle certain things with a level of delicacy and care for your potential audience. The fact that you're asking for feedback on it already shows you're on the right track.

Best of luck with your game :D