The hotel itself? No. But, there are activities at Canyons - ride the gondola, ride the zip lines, hike, mt. bike, paddleboats on the reservoir lake, catch & release fishing (tackle provided) at the lake. There are concerts on certain nights of the week. There is a Western BBQ one night a week up at the Red Pine Lodge. There is usually some little kid activities at the base area. Go to the Canyons website for more information.
Also, up the road at Park City Mountain Resort, they have alpine slides, alpine coaster, a smaller zip line, a kid zone with small kid activities (climbing maze, ropes, etc.)