Splitting double lot, building new rental

[Warren Kuhn]

Situation: Ive got a rental that sits on a double lot but only occupies one half of the lot of land. House has a 2.25% rate on it.

Question: Can I work it with my current lender to split the lot without giving up my current interest rate?

I do have a fair amount of equity in the home and would love to utilize the other half of the lot as its sits in a very desirable rental area, but do not want to do so if it means refinancing from 2.25% to the current rates available.