Nope. Your posts don't federate at all to a server unless at least one person has followed you on that server.

all posts/actions made by any server don't go to every other server. There has to be a relationship between a server and an account on another server in order for that server to "subscribe". Once someone on a server follows your account, your public posts are visible to others on the server. If no one on the server follows you, they would have to specifically search for your username and follow you, and at that point, they would see new posts you make after they followed you.

There are activitypub relays that mitigate this issue a bit, but neither lemmy nor mbin support those.