Yes!
There's a quick guide to the options for making your own server at https://fedi.tips/how-do-i-create-my-own-server-on-mastodon-and-the-fediverse
I also did a guide for non-technical people creating a Mastodon server on managed hosting at https://growyourown.services/making-your-own-mastodon-server-in-10-steps



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