No. Kansas instructions indicate the state does not allow you to claim itemized deductions on your state return if you claimed the standard deduction on the federal return.
If you file a married filing separate return, both spouses must claim the same deduction (standard or itemized) unless they have lived apart for the entire tax year.
The Kansas standard deductions are:
|Married filing Joint||$7,500|
|Head of Household||$5,500|
|Married filing Separate||$3,750|