Yes.
Here’s an example. The house is listed for $400K. I offer $500K, and will cover up to $30K in the event of an appraisal gap between offer price and appraised value.
I put 5 percent down, or $25K. The house appraises for $470K. I now pay 5 percent of $470K and cover the $30K appraisal gap.
So I really put down $23,500 plus $30,000, or $53,500. The rest is financed.
Any appraisal less than $470K, and the selling price will need to be reduced accordingly.