Modern jailbreak tools like Taurine and unc0ver can currently jailbreak all iOS & iPadOS 14 devices running up to and including iOS & iPadOS 14.3. It’s been quite a while since any of these tools have picked up support for new firmware, but there’s always the very real possibility that these tools could add support for new firmware in the future.
Fortunately for those whose devices are operating on iOS or iPadOS 14.4 through 14.5.1, there just might be some hope. Renowned security researcher Ian Beer of Google Project Zero has just released documentation of what appears to be a kernel-level proof of concept (PoC) impacting up to and including iOS & iPadOS 14.5.1.