Unlikely. Maybe if you call your therapist repeatedly at 3 am threatening to do it but not just talking about it. Suicidal ideation is much more common than people think and is not the same as being actively suicidal. A decent therapist usually knows the difference. I have had suicidal ideation for YEARS ….AND I have easy access to a very definitive method of suicide….and I’ve been in therapy for years and talk about it openly. The only time I was ever kept against my will was when I basically set everything up for the suicide,then got scared bc I wasn’t 100% sure I wanted to die but I was 100% sure I would be dead in a few hours if someone didn’t do something. I told someone who drove me to the ER. Even at the ER if I had the chance to change my mind ( not sure what would have happened then) but didn’t bc I knew if I went home I would kill myself that night. I did get stuck there for a few days which were largely useless but got me through the impulse to die safely. It did cost though I am lucky to have insurance. But It’s not as if the moment you mention suicide you are involuntarily committed, at least not in any of the US states I have lived in