Yes. If it isn’t working, please report an issue. There was a problem in b3 that the history was not preserved: Python 3.13.0b3 REPL empties ~/.python_history · Issue #121245 · python/cpython · GitHub – but it was fixed in b4.
For me, the history is preserved with the final release (Fedora build):
$ python3.13
Python 3.13.0 (main, Oct 8 2024, 00:00:00) [GCC 13.3.1 20240913 (Red Hat 13.3.1-3)] on linux
Type "help", "copyright", "credits" or "license" for more information.
>>> "Hi, discuss.python.org"
'Hi, discuss.python.org'
>>>
$ python3.13
Python 3.13.0 (main, Oct 8 2024, 00:00:00) [GCC 13.3.1 20240913 (Red Hat 13.3.1-3)] on linux
Type "help", "copyright", "credits" or "license" for more information.
>>> "Hi, discuss.python.org"