Static recompilation is not possible, even for simpler CPUs like the 6502 (NES, Apple I, etc). There are parts of the program that you will never know until you actually run it. Forget about a complex x86-64 program.

Apart from that, the complexity of all the system calls made by the program is also a huge challenge as those not always have an equivalent in the new system and are really hard to match at such a low level. It is, however, not impossible. Emulators such as Dolphin do that, also combined with dynamic recompilation.