Spoiler: Probably not, but just imagine the entertainment value if they did.
↵Biz of Baseball discusses a recent interview on the topic, which has high watercooler potential thanks to the McCourt divorce and all attendant drama, and presents us with two salient takeaway points:
↵↵↵1) There is nothing in MLB’s By-Laws or Constitution that prevent public ownership of a franchise.
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2) Even though it’s not prevented, doesn’t mean it’s a plausible scenario.
MLB's tight-lipped attitudes toward its financial practices is a central reason for No. 2, but put reality aside and just imagine the bleacher crowds owning a part of the team. If you've spent as much time hollering from beyond the outfield as I have the past few years, you're already grinning.