No.
All of Mastodon, or more accurately, the Fediverse, runs on the same communications protocol. By analogy, think of the World Wide Web (HTML), email (SMTP), or the cell-phone network (IMSI, amongst others).
A difference for the Fediverse from the World Wide Web is that Websites largely don't communicate with each other, but rather respond to specific requests from a Web client (e.g., a web browser), in a client-server model. The Fediverse, like email or the cellphone network, consists largely of peer-to-peer (p2p) communications between individuals, mediated by servers.
Specific instances vary tremendously in standards. My home instance (toot.cat) has a specific code of conduct:
<https://mew.toot.cat/mw/Toot.cat/CoC>
There are instances with highly incompatible rules and standards. Many of these are moderated (varying degrees of limiting interactivity, listed here:
<https://toot.cat/about>
Instance administration which is sufficiently unacceptable can result in near-total defederation of that instance, that is, few if any other instances follow it. Two notable cases involve a service operated by a former US political figure, and of a neo-nazi group (I'm not naming them, they're easy enough to find should you choose to do so).
Most mainstream Mastodon instances do follow reasonably compatible codes of conduct, though there can be regional differences. For example, some Japanese instances permit comic content (loli) which is categorically illegal in numerous other jurisdictions, and face limited interactivity on that basis. There are numerous other grounds for limiting interaction beyond that.
Again: this is similar to other p2p communications platforms in which abusive practices tend to give rise to limitations: Do Not Call registries, and under a phenomenal onslaught of robocalls, denying interconnects between telephony systems.