Here's what we do know:
* Both episodes were produced in the early years of The Twilight Zone (1959-1960). This suggests that the production may have reused props for budgetary reasons.
* The rockets in both episodes look very similar. They both have a distinctive, stylized design that would not have been common in the real-world space race at the time.
* However, visual similarities are not conclusive evidence. It's possible that the two rockets were separate creations with similar aesthetics.
Ultimately, without more information, it remains a speculation. Fans have debated this for years, but a definitive answer is unlikely to be found.