Probably not. The maximum wattage that can be supplied from the PCIe lane is 75W, the rest comes from external power cables. At stock, a 5670 is using 61W, so 14W extra isn't a lot. I'm not sure how far you could push it whilst remaining with in that 14W limit, but it wouldn't be far at all, it probably wouldn't even be worth it
Why are you getting a 5670 anyway? You can get a 4850 for around the same price, but it will be a hell of a lot more powerful. If your power supply isn't up to it, surely it would be better to invest in a better power supply first, before other upgrades, so you have greater freedom and greater stability for any future upgrades