Not to my knowledge.
I’m just going to grab onto the “properties with a value of current page” part, as your request is very long and hard to understand without examples of what you are looking for.
Properties are key/value pairs. And instead of looking up a value based on its key. You’re going backwards.
In queries we ask of the block/page, give us your properties. Then with a get we specify what key (property name) to get and it returns the value for that property.