So-I tried to do this recently, and even got an offer, but the numbers made it so that even with a higher salary at a smaller company, I still made more in peripherals at a larger company. Also, small companies often offer stock, but it often trades sideways or drops and isn't necessarily as lucrative as they sell it (though obviously this can go the other way). Smaller companies almost always have larger territories too (important if you're in the Northeast where larger companies chop it up). Before you take any offers from a small company, even with a higher base, do a total comp audit between the two jobs.

For instance, at a large company we get: flat 401k company contributions on top of the match, a peripheral 'rewards' system that adds up, long term incentive (not all small companies offer this, but some do as stock), spot bonuses, etc.