Yes, you can choose to use the Standard Deduction in Maryland even if you itemized on the federal return.
See
"2. Itemized deductions.
Q: Can I claim itemized deductions on my Maryland return if I claimed standard deduction on my federal return?
A: No. You may claim itemized deductions on your Maryland return only if you claimed itemized deductions on your federal return. If you claimed your itemized deductions on your federal return, you may figure your tax using both deductions methods to determine which is best for you."
See page iii in Maryland 2019 Tax Booklet.
But you must read "8 SPECIAL INSTRUCTIONS FOR MARRIED PERSONS FILING SEPARATELY" on page 4 of the same link, because this describes special rules for taxpayers filing married separate.
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