No its not possible. herpes are in 3 areas in the body only. The genitals, the oral area and the hand. Tests are done with blood but dont say which area the blood came from. Most tests for NAAT swabs are from fluids from a speicfic area and are not normally done with blood.
Hi genital swabs have nothing to do with detecting oral hsv. Its PCR picks up DNA and blood tests pick up antibodies.