We still read to DS at that age even though he was running laps around the room while we were doing it. It seemed kind of ridiculous at the time but it was kind of surprising to realize how much he was absorbing. Over time he showed more and more interest and would sit down with us for longer and longer periods of time. He now sits for hours at a time reading on his own (he's 10).
For drawing we often used sidewalk chalk outside so he could run around AND draw. We also had fun with a big roll of paper and really big drawings/paintings which required more activity than sitting and coloring on a small sheet. If you're more worried about fine motor type things you could always try making a game out of it and adding in some bigger motor energy burning stuff (something like running around and collecting small hidden things for pincher grasp or whatever).
My nephew is a HIGHLY active kid and they do a LOT of physical activity everyday.