In the Voyager episode One the entire crew (minus Seven and the doctor) are put into stasis chambers while they fly through a nebula that's teeming with subnucleonic radiation.
Do all Federation starships have stasis chambers for the entire crew?
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I can tell you for a fact that as of the 4th season of Star Trek: The Next Generation, neither the series bible (the Writer's Guide) nor the Writer's Technical Guide mentioned a single thing about any kind of stasis chambers on the Enterprise.
In other words, they were added in sometime after that, when the plot needed it, but they were not conceived as a part of the ships when the newer Trek started airing.
The Memory Alpha page about stasis chambers says the following:
Stasis units have become standard equipment on Starfleet vessels, including the Galaxy-class and Defiant-class starships.
However, it seems like hauling around one chamber for every crew member could take up quite a lot of storage space, particularly on Galaxy-class ships with crew complements that can exceed 1,000. Conceivably they could carry a minimum number and then replicate the parts and construct additional units as needed.