I would guess it is not only possible, but one of the intentions behind it. A percent breakdown of calls to involuntary commitments would be useful. I found something about a Florida Department of Family & Children suicide line having a 19% rate of involuntary commitment after a follow-up. (https://www.miamiherald.com/news/health-care/article26351131...)

It is scary to think about, but I think both swatting and this would be solved by authorities looking at the scene without blindly taking irreversible action. (In Florida, once the Baker Act involuntary commitment begins, it is required to continue for a couple days. Police examine the suspect before formally doing it, because it is a pretty big deal.)

That is not to say I agree (or disagree) with these calls being used for involuntary commitment, I just think the swatting problem is the symptom of an unrelated issue.