No you do not issue a Form 1098.
See IRS Form 1098 instructions on page 2 (Who must File) - https://www.irs.gov/pub/irs-pdf/i1098.pdf
You are not required to file this form if the interest is not received in the course of your trade or business. For example, you hold the mortgage on your former personal residence. The buyer makes mortgage payments to you. You are not required to file Form 1098.
