Caching the data that comes from an external source?

I have an interactive, dynamic map on my site. Something like google maps. They work pretty fast, however I would really like to lower the load times. So if user - for example - wants to see London city, the whole data which comes from maps (the map tiles) are stored (cached) somewhere. So if another user displays the same area, I don't have to wait or even to send request to get the map tiles to the api, but my caching service does it for me (returns cached map tiles and other data).

Question: Is there some service that does that kind of caching? Can data from external service be even cached? Does cloudflare provide such caching functions?