Very possible.
The bottom line is someone is going to sign Bauer for a lot of money. And Cohen or not, I have my doubts it will be Bloom. My only opinion is that it is extremely unlikely to be Cashman who signs him, because I think Bauer's biggest criterion for signing will be "not on any team that already has Gerrit Cole." Of course, i might be overthinking their personal feud, too, and maybe even Bauer has a price that makes factors like that inconsequential.
If I had to predict where Bauer would sign, the Mets are certainly high on my list for checking all the boxes, which include 1) large market 2)a belief that they have their biggest need as starting pitching, and 3) a belief they are one SP away from potential contention. Of course, the Dodgers also check those boxes. As do the Cubs and Cardinals. Are the Red Sox one SP away? Depends on the physical condition of Sale and ERod.
A lot of times these deals come from teams no one expects. Who saw the Angels going big for Rendon? Or the Mariners with Cano? Or the Tigers for Price Fielder? I could go on.
If Bauer sticks to his one year deal mantra, one team that might break the bank for a single season might be the Padres, especially if they can unload Wil Myers and his two years / $45 million. Getting rid of that salary makes fitting Bauer in for a single year, or even two, much, much easier...