No. Even in the tropics citrus is a seasonal crop. It varies by variety though. Calamondins and West Indian limes bear off and on all year, but most others are seasonal.
I live in a tropical climate with a rainy and dry season. My Meyer Lemon trees bloom after the first good rains following the dry (winter) season, and bear fruit in the middle and late rainy season, and into the next early dry season. There are a few off-season fruit, but not many.
My guess is that the trees don't have enough energy to bear a heavy crop all year.