This question came up in the Online 10-day Retreat Nov 3, 2020, guided by Delson Armstrong. Day 6 was part of a daily 30-minute discussion on the suttas, the Dhamma talk and reflections.
Slightly edited to improve readability
No, once you had a Nibbāna experience, that unlocks, so to speak, the next attainment for you.
When you have attained arahantship, you can continue to attain Nibbāna over and over and make it your object of meditation, conventionally speaking. But that is the end of the path, the fruition of the path.
Every time you attain Nibbāna, it’s the unlocking of a new attainment until you have full fruition at arahantship.