Hi, Cyrille.
That would be a nice feature, but we don’t have that built-in.
We actually don’t have any “event promotion” sort of notification/email functionality at this time, much less that is location-specific.
You could request this as a new feature (or maybe search to see if the idea was already posted by someone else) at our plugins’ UserVoice page.
This allows others who are interested in that feature to easily voice their support. We frequently review suggestions there to find out which ones are popular, then we implement as many of them as we can.
If you post it / find it, feel free to link to it from here in case anyone comes across this forum thread in the future.
As far as ideas toward implementing something custom, you’d need to add custom fields to the WordPress User Profile to record each user’s “home” location.
Then you’d likely want to setup a WordPress cronjob to run Events Calendar PRO‘s distance calculation / query and maybe send them a notification like “X number of events happening this week within Y distance from you”.
I hope this information helps. Please let me know if you have any follow-up questions on this topic.