Not quite (yet), the core search filter doesn't yet cater for that.
There's this pull request which is asked for some more rework which I haven't yet gotten around to:
extended search filter
If I remember right, things like $custom, $standard, $text are not going to make it into the core as in that proposal, but $all will, as well as enumerating any (custom) fields you wish to search.
I'd not advise you to use the components referenced in that demo, because they will likey change and then it may be more difficult to remember updating to the final version.
Best wishes, Tobias.