Hello Jesper,
My name is Juan Pedro, I am an Independent Advisor and consumer of Microsoft products. I will be more than happy to assist you today!
There is currently no way to block messages. The only thing you can do is use an address book policy that will simply hide your support email address in Teams. Microsoft calls this Scoped Directory Search and have an article for it here:
https://docs.microsoft.com/en-us/microsoftteams...
Blocking individuals is not the intended use-case of it here, but rather separating groups. It may suit your needs though.
Here’s the closest UserVoice suggestion I can find. From my discussions with people from the Microsoft Teams development team, they try to focus on UserVoice suggestions to help prioritize features and bugs and get further feedback.
https://microsoftteams.uservoice.com/forums/555...
Source: https://community.spiceworks.com/topic/2187373-...
Please be reminded that the link above is a non-Microsoft website. The page appears to be providing accurate, safe information. Watch out for ads on the site that may advertise products frequently classified as a PUP (Potentially Unwanted Products). Thoroughly research any product advertised on the site before you decide to download and install it
I hope this helped. I will be around in case you need something else.
Thank you.