This could happen on certain issues. But note that at least if parliament runs its course, a labour MP will face a trigger ballot sooner or later. So the threat isn’t vote this way or you will face a trigger ballot but rather vote this way or you will face a trigger ballot now when the way you voted on this issue is fresh in people’s minds.
Of course the CLP exec or any other member can say ‘think carefully about how you vote because we will remember when the time comes.’ I’d put that in the ‘influencing’ category.
I believe a Conservative Association committee can not only threaten an MP with a re-selection procedure but also protect them from ever having to face a re-selection procedure, so they are in a much stronger position to coerce an MP who faces a hostile local membership.