No, if you are talking about the principal amount of the loan. The principle amount of the loan is not tax-deductible.
The costs associated with a mortgage that are deductible are mortgage interest, property taxes, and mortgage insurance premiums. In order to deduct these items, you would have to take Itemized Deductions on your return instead of the Standard Deduction.
Link to more information about Standard Deduction vs Itemized Deductions.
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