Could the federal reserve set a lower interest rate for only first time home buyers?

Im not well versed in how the federal reserve sets rates and how the banks set rates based on the fed rate but couldn’t the fed set a lower rate for people who could use a leg up? The banks would still make their profit and it could help even the economy out a little. Both sides want housing to be more affordable to young families and it seems like some sectors would benefit from lower rates than others, can’t the fed just set rates with certain stipulations where the money goes?