Sure, there are several. Here are a few I use (some more aming at bicycle or hiking routing):

https://routing.openstreetmap.de/?hl=en
http://map.project-osrm.org/?hl=en
https://www.komoot.com/plan/
http://brouter.de/brouter-web/
https://zikes.website/

Check out https://wiki.openstreetmap.org/wiki/Routing/online_routers for more options.