That was something I checked when creating the LCP but it's not a supported feature in COMP/CON as far as I can tell. From what I've seen suggested triggers aren't on any of the core backgrounds and it's not a field that's documented on the github or included in the LCP editor.
That said, I'll check in with the COMP/CON devs and see if I'm missing a way to add that, or if there are plans to add support for it in the future.
EDIT: Looks like this is not a feature that's planned to be added any time soon, but if anyone desperately wants this to be a thing, COMP/CON does accept pull requests!