Yes, if your fixed househunting amount is more than adequate to cover your househunting expenses any balance belongs to you.
Code of Federal Regulations
Effective Date Note:
By FTR Amdt. 2011-01, 76 FR 18337, Apr. 1, 2011, § 302-5.18 was amended by removing the words “fixed amount” from the section heading and adding the words “lump sum” in their place and by removing the word “fixed” and adding the words “lump sum” in its place, effective Aug. 1, 2011.