[Python] Can a specific Python version bytecode run on different interpreters?

I have been reading about Python interpreters, especially CPython and PyPy, I know that there are 2 steps to run a Python code:

1. Convert to Bytecode
2. Interpre to MachineCode

My question is, if bytecode is generated by CPython, lets say Python version 2.7.0, will the bytecode run on PyPy for Python 2.7.0?

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