No. You have to enter the information listed on your form 1095-A . For the months you were not covered by the Marketplace policy, just leave the boxes blank on the entry screen of form 1095-A. Do not enter 0.
As for the other health insurance premiums you paid out-of-pocket, you can deduct them along with the net premiums you paid for the Marketplace policy and all other medical and dental bills and prescription drugs paid out-of-pocket as Medical Expenses in Schedule A - Itemized Deductions
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