I know that geojson datasets can be brought into Leaflet as layers (/), but can I build queries upon these geojsons within Leaflet?

For example, could I build a query on an uploaded geojson points dataset within Leaflet, that effectively says "from the one selected point record find me all the other point records within a 500 metres radius." Or maybe "from the one selected point find me the one nearest other point to it."

This is a general question about Leaflet functionality. Note that I don't have Leaflet, but am instead try to research possibilities in potential software solutions.