It depends on the particular state if you can adjust it, and if you can (or have to) file separately.
Some states require couples to file separate state taxes, even after filing joint tax returns, if one spouse lived in a different state.
States such as New Jersey give the couple the option to file jointly as if both were residents of the state the previous year.
Community Property states often require all "community income" to be split between both spouses.
Here is more details about community property states: Community Property States
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