You can fetch the follower count, you can fetch the people who participated in polls, but you can’t fetch likes & boost statistics as well as posts made in the past on another server?
Excuses! It’s easily possible. Even on a client basis.
I use @michael's #FediFetcher to do this. You can run it as a GitHub action, server, or desktop computer. Basically, set it up and forget about it. It chugs along backfilling new follows/followers, replies to posts, and more.
FediFetcher is a tool for Mastodon that automatically fetches missing replies and posts from other fediverse instances, and adds them to your own Mastodon instance. - nanos/FediFetcher