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:
| Single | $3,000 |
| Married filing Joint | $7,500 |
| Head of Household | $5,500 |
| Married filing Separate | $3,750 |