Answer:
I do believe so, although it has a much more literal rejuvenation.
Explanation:
The garden is a place to relax and refresh, as is Neverland. However, in Neverland you literally do not age, therefore it is quite a literal concept of rejuvenation.
In My Last Duchess, the painting and the art represent something that is long gone, most noticeably, his love for art. He claims that he once loved art but now that love is gone and he hates it as much as it hates him.
He feels isolated and lonely
