Yes...and I'd most likely use the base of the antler with the wide spot (where antler met skull) away from the scoop (mostly just for the "look" I think would be best). Depending on which scoop kit you use, you may be OK with a decent chunk of deer antler, but I would expect to likely prefer Elk antler (larger diameter).
If you've never turned antler, be advised that the dust is very bad for your lungs (where "very bad" works out to something along the lines of inhaling asbestos just for "fun"). Wear proper dust protection (and the crummy little paper masks do not count as "proper").
Seal the ends VERY well and seal the entire surface as well. I would do very little turning! Mostly just to shape the end near the scoop so it flows well visually.
Antler finishes well by hand when working with its natural shape. A normal BLO/CA finish can be rubbed on by hand fairly easily. I've even hand polished with normal MM pads and HUT's Ultra Gloss finish. Takes very little effort to get a decent finish on natural antler.
I would not recommend putting the resulting ice cream scoop in the dishwasher or soaking it in water during/after use (or at any time). It should be rinsed and hand washed promptly after use (OK, after the ice cream has been eaten).