I'd say no, but this is mostly just a matter of definition. Analytic philosophy is a particular modern strain of the western philosophical tradition. Its canonical writers are all Europeans and Americans writing in response to each other and earlier generations of European philosophers.
"Western" denotes a cultural and historical group. There aren't non-European members of the western philosophical canon1 for the same reason great non-European writers aren't considered part of European literature.
This is historically contingent and subject to change as time goes on. If there were an academic philosopher in China whose work is a direct response to let's say John Searle's theory of mind, then I'd call them a non-western analytic philosopher. If they became famous enough to join the canon of academic philosophers, then the answer to your original question would be an unambiguous "yes". To my knowledge that just hasn't happened yet. Also if Bertrand Russell had framed his philosophy as a direct response to, say, specific Zen Buddhist writers, then the answer might arguably be "yes". Something like that is possible, but I don't think it was ever the case.
However, if we were to read some 10th century Chinese philosopher and find striking parallels to analytic philosophy, we wouldn't say that person had been doing analytic philosophy all the time and just didn't realize it. Again, no more than we'd say The Tale of Genji belongs to European literature because it's arguably the first novel and novels later became very important in Europe.
The Wikipedia article Buddhism and Western Philosophy matches my sense of things. There's maybe some cross-pollination of ideas and admiration from afar, and instances of conceptual similarity, but separate philosophical traditions remain separate.
1 I'm avoiding the complication here that there are writers from thousands of years ago–Plato, Aristotle, and so on–who we identify as central to the western philosophical tradition even though the world they inhabited arguably preceded "western" culture and definitely preceded any notion of a unified European culture.