Interesting. I've long been of the opinion that I was definitely NOT exposed to it, although I had a persistent lingering cold in late feb/early march. (Symptoms took way longer than usual to clear -- but no flu symptoms).
That said, if it was in California before folks thought it was, it's theoretically possible.
My wife works in a hospital and will be tested for COVID-19 and antibodies, FINALLY, sometime this week (we think). If, for some reason, she happens to have antibodies, I'm going right out to get tested myself-- and, actually, I'd like us BOTH to get tested for antibodies (second time for her) because otherwise we'd be left guessing if one of us had antibodies and the other did not.