On the k-5 there is a menu item (C-3-20) Release while charging. The default is off, "disables shutter release while the built-in flash is charging". Changing this to 'On' will allow you to take another shot before the flash has completely recharged and might speed things up.
It will not AFAIK, actually decrease the amount of time required to re-charge the flash. So, if you need the flash for each shot this might not help. I don't think there is anything you can do to decrease charge time, I get about the same as you are reporting so it's not your camera.
One thing I have done is get a small external flash (I use AF-200T) set it to all manual and adjust the flash power using the sliders on the back. Recharge time is not an issue, the flash is quite small and has plenty of power for fill.
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