Yes and no.
In terms of quality of product, it would be hard to claim one brand superior to the other. Both companies produce extremely fine, hand finished, useable art.
Both companies have produced fine wristwatches (and pocket watches) of heirloom quality for sufficiently long enough to justify the prices they command.
The products of both companies are marketed to the same type of person: those with large enough disposable incomes who practice conspicuous consumption.
They are both in the category of haute horology, after all.
With that said, it’s a bit like asking “Is Bentley on the same lev…