iPhone SE iOS 13.5.1 Jailbreak
You can jailbreak iOS 13.5, but you can't jailbreak iOS 13.5.1.
The developers behind the "unc0ver" jailbreaking tool for iOS have released a new version, 5.0.0, that's compatible with the latest version of iOS 13 and most versions of iOS going all the way down to iOS 11.0. iOS 12.3-12.3.2 and iOS 12.4.2-12.4.5 are excluded.
There's also another jailbreak tool (checkra1n) that works with iOS 12.3-iOS 13.5 so you'll want to look into that one as well.
There isn't a working iOS 13.5.1 jailbreak yet so if you want to jailbreak you'll need to stay on older software for now.