Yes, it absolutely could be a false positive. What made you test? You don't seem like a candidate for testing.
Anything below a 3.5 has at least a 50% chance of being a false positive, and the lower the number, the higher the chance. That's probably about a 70% chance of being a false positive.
Without knowing why you tested, it's a bit hard for me to suggest your next steps.
If it was just suggested to you as part of an annual exam by your doc, you can get a Western Blot test to confirm. Your doctor can order this, or you can get it yourself through Terri Warren, a nurse practitioner - https://westoverheights.com/getting-a-herpes-western-blot/
If you do it yourself, be warned - it is expensive, like in the several hundred dollar range, all told.
If you tested because you are concerned your partner went outside the relationship or something, and you are worried you have a new infection, you can take another IgG test in several weeks, depending on the timing of it all.
What was your hsv1 result?
The reason the test has false positives is that the test doesn't actually look for antibodies, but for things in the blood that have similar molecular weights as hsv2 antibodies. It can pick up normal blood proteins with similar weights, and sometimes hsv1 antibodies can be picked up.
So don't freak. Take a breath, and I'll help you get through this. Whatever happens, I promise you'll be okay.