Not by very much, mind you. On the order of nanoseconds. But you could always even it out by sleeping upside-down like a bat! (And get a very bad headache in the process)
(For those who don't know why this is, it's because your feet are further inside the Earth's gravity well, and thus experience slightly more time dilation, meaning time passes slower for them. This effect is actually big enough in GPS satellites that we have to correct for it or they become extremely innacurate very quickly)
GPS and Relativity