No.
Winehq says
no, but that report says Ubuntu 6.06, which means they are probably using a version of wine from March, 2006. That said, someone managed to use the 2006 version of wine, with the 2006 version of TaxCut, so I'd bet that the 2008 version of wine works with the 2008 version of Tax Cut.
As much as Intuit is evil, Turbo Tax Online works fine with Linux.
(Then again, software as a service is also evil.)
(woot)