Maybe. It depends on yeast selection and what you want out of your yeast. Some strains may not ferment at all at 10C. Stick within the manufacturer's suggested range.
Also, I may be misreading you, but there's one other thing to clear up. We should all be clear that a faster fermentation isn't necessarily a better one. Yes, a long, drawn out one is often indicative of problems elsewhere, but minimizing the time between pitching and the end of fermentation isn't something to chase for its own sake. At some point, you're going to negatively affect the quality of your end product.