Well, as much as possible anyway. When considering mass alone, life is quite efficient.
According to Wolfram Alpha:
The sun produces 3.8 * 1028 watts.
A single human produces 104 watts (calculated through the average caloric intake assuming that intake ≈ energy consumption) through heat radiation.
Therefore:
1 kg of human converts 1.5 watt into heat.
1 kg of the sun converts 0.0002 watt into (heat) radiation.
And while I have nearly no understanding how entropy is calculated, from those values alone it seems like humans produce more entropy per kg than the sun. I'm pretty sure entropy is somewhat related to energy production though.
Yes, if you consider just a human-mass equivalent portion of the Sun then it's not doing much, but that's not really a useful comparison. We're talking about total net entropy here, not entropy per unit mass.
But yes, if it makes you feel any better, I'll concede that if you had octillions of people our total metabolic energy output would, in fact, be significantly higher than that of the Sun.