A language that's designed to be compiled doesn't have these issues, since you can move most of the checking and resolution logic to compile-time. But doing that requires the language's semantics to be aligned to that goal, which Python's most certainly are not.
The achievements of Pypy are pretty incredible in the JIT space, but the immense effort that has gone in there definitely is a good reason to be skeptical of Mojo's claims of being both compiled and also a "superset" of Python.
I think that this kind of thing is in fact done with the high-performing Javascript engines used in major browsers. I imagine PyPy, being a JIT, is in a position to do this kind of thing. Perhaps Python is more difficult than Javascript, and/or perhaps a lot more effort has been put into the Javascript engines than into PyPy?
This is sometimes repeated but I don’t believe that is why Python is slow (nor do I think for most measures of “dynamic” it is even true). Which aspect of “dynamism” in particular are you concerned about that JavaScript lacks? The primary hindrance is keeping CPython extensions working while making Python fast. Add to that the hundreds of millions that went into V8 and other JavaScript implementation efforts.
And then there's descriptors: https://docs.python.org/3/howto/descriptor.html
Doing that, plus 100% compatibility with CPython extension API, while preserving some expectations of deterministic destruction in Python, are the challenges one would face.
Because they're annotations with bad checkers. They're mostly helpful as documentation.
TypeScript checking is on a whole different level.
Plenty of other dynamic languages have proven the point already.