Can a toothache make you sick?

I had some fillings done in January, one of which ended up hurting so I had it redone. Since I've had it redone, I've been experiencing more pain with it. I can't chew food on the side of the mouth where the filling is and it constantly aches. Since I had it redone in early May, I have been chronically ill. Two cases of bronchitis which required two different sets of antibiotics (which gave me lots of other issues) and now I'm sick again with fever, nausea, vomiting and headache. Alas, antibiotics again. I'm usually healthy as a horse so this is very strange for me and I don't get great answers from the doctors I've seen. Is it possible one can be very ill from a minor toothache?