Let's think this through.
From what I understand, you are talking specifically about human metabolic rates. So even considering relatively small light humans, this is in the range of say 50kg.
Now metabolic rates vary widely between individuals, and even for the same individual at different times or different circumstances. So you would need a huge difference in metabolic rates to be sure that any difference you saw was due to relativistic effects. Say a 50% change in metabolic rate.
So, if one of the handy physicists here will do the math, we can see how much energy it would take to reach a speed where we could see this. Bear in mind that it has to be handled within one human lifetime, which limits our acceleration rate. I suspect that this is essentially undoable- the amount of energy involved would be absurd.
But hang on! What do you mean by "metabolic rate"? And how do you measure it? Where do you measure it? - that is in which frame of reference? Or perhaps you just want to see if one of the subjects actually ages faster than the other?
Can you define your experiment more clearly?
relevant links:
http://en.wikipedia.org/wiki/Twin_paradox