As far as I know, you cannot do this. I hope the first automation release will allow it.
For now you can filter out all checked items so they disappear from your card list.
Unfortunately no, that wouldn’t be possible for now, at least not until we release our automations, just as @micck said.
If you do not want to see items that were “checked” you can filter them out, however - I suspect that the use case is much more complicated than that, for which - we are going to have to wait for our automations, which are currently being developed (we are also testing some of them… reminders… )
You can track our progress on our automations over here