Is it possible to be "lovesick" or "homesick/boyfriend-sick" ?

I'm on vacation with my family for the first time in a long time, but my boyfriend couldn't make the trip with us. He and I have been dating for a year and have never been separated for more than a few days. On the day I left for the airport I felt like I was going to get sick, but never did. I still feel that way, but haven't gotten sick. I also have absolutely no appetite for even the most gourmet or chocolate rich foods. I tried to eat fillet but it just didn't appeal to me nothing does, not even water. Also, I get very sleepy and drowsy during the day but if I go to take a nap, I can't sleep, and at night I'll fall asleep but then have a dream about my boyfriend wake up from my sleep with tears and won't be able to get back to bed (and yes, this happens every night.) So I'm feeling lightheaded (I'm guessing that's due to no food intake; which I'm working on even if the thought of food is sickening enough) loosing sleep and don't get it. Does this sound like some sort of bug, or could I really be "homesick/boyfriend-sick"???