Definitely 
In fact an independent developer has already created an app that checks you into Swarm, whenever you complete a transaction -
https://github.com/DanToml/MondoSquared
And another an independent(ish) developer (he’s one of the Monzo co-founders) has created an app to check you in on Foursquare (using a less precise process to find the merchant in the Foursquare database) -
Note: this app may no longer work as it was created a while ago & there’s been a few changes to the API.
https://github.com/JasonBates/mhook
Monzo actually uses the Foursquare database to check merchant’s locations & enables developers to access the merchant’s Fourquare Id from the API, which helps simplify the process for developing these particular apps.
Hopefully in the future users will be able to set up a simple rule through IFTTT or Zapier to replicate this functionality without needing to write code though, once the API is ready & Monzo’s got themselves set up on those sites 