I think so. Lots of people have said, and I think this is correct, that the most amazing thing about her was her ability to keep the monarchy popular/well-liked despite all the changes in the culture at large. Political upheaval, cultural change, technology, etc. In an era where everything gets politicized, she was never seen as political and was seemingly liked by everyone, even people who are critical of the idea of a Royal Family.
However, the impression I get is that Brits liked Queen Elizabeth, not necessarily the monarchy as a whole. They certainly don't like certain members (or ex-members) of the Royal Family (Andrew, Harry/Meghan, Charles to a certain degree). I think it will be almost impossible for the remaining figures of the family to maintain its current level of popularity.