No, you cannot claim a solar credit on the second home.
The credit can only be taken on your Main Home.
IRS Form 5695, Residential Energy Credits - https://www.irs.gov/pub/irs-pdf/i5695.pdf
Main home. Your main home is generally the home where you live most of the time. A temporary absence due to special circumstances, such as illness, education, business, military service, or vacation, won't change your main home.
