No; for per diem purposes, you and your spouse or domestic partner are considered to be traveling together if you travel on the same days along the same general route by using more than one POV.
Code of Federal Regulations
[FTR Amdt. 98, 66 FR 58196, Nov. 20, 2001, as amended by FTR Amdt. 2010-06, 75 FR 67631, Nov. 3, 2010]