How to play on Minecraft Servers on different versions

I have recently bought and installed Minecraft Java Edition Version 1.17, and today decided to play Hypixel, but I have noticed that on the Hypixel website, it says that the best version to play is 1.8, since if you play on version 1.11 or later, the game mechanics will be different. And, I have noticed this after I joined the server.

So, is it possible to make the game mechanics in Minecraft Servers work on all versions?

No, this is difficult to do. Every version of Minecraft will run slightly different, and some very different compared to other versions. If you want to play with the most correct mechanics in that specific server, you should use the optimal version that Hypixel (or any server) specifies, otherwise your gameplay might be effected negatively. In fact, some servers won't even allow you to join unless you use their recommended version of Minecraft.

As another note, it is a fully serverside choice, meaning you cannot do anything about a server not supporting a version.