Can a person have both hsv1 and hsv2 orally?

No.  Herpes Simplex VirusVirus is spread by close personal contact, such as kissing or sexual intercourse. There are two types of herpes. The first type is herpes simplex type 1 (or HSV-1). HSV-1 occurs most often on or near the mouth and appears as a blister or cold sore. The second type, herpes simplex type 2 (or HSV-2), occurs most often on or near the sex organs and is sometimes called "genital herpes." 

source:  http://dictionary.webmd.com/terms/herpes_simplex_virus.xml 

Yes, a person can have both simultaenously:

"Genital herpes" and "oral herpes" refer to the location where the herpes infection is found on the individual. Most genital herpes is caused by HSV-2, but can be caused by HSV-1 in as many as 30% of new cases. Oral herpes is most often caused by HSV-1, and only rarely by HSV-2. Because these locations are often associated with a particular type of herpes (which seem to "take hold" in those particular locations more easily), medical people, websites and literature often equate the location with the herpes type. You might find that people speak of genitally-located herpes infections as HSV-2 and orally-located herpes as HSV-1. However, humans can have either virus in either place, and in fact, potentially anywhere on the body.

http://www.herpes.org/herpesinfo/hsv-one2.shtml