I wouldn't do it but I have a neighbor that has never lost a deer shooting them with his .204 Ruger and he's up to about 25 with it now. Most are DRT head or neck shots. He's shot the gun, is confident in it, never uses it in windy conditions and limits his range to 100yards and under, though he did bust a sookie with a neck shot at 120 this year that was DRT.
Conversely I've lost one deer in my life with a 30'06 165grn Nosler Ballistic Tip at 130 yards. I didn't make the best shot but the bullet failed to expand passing between two ribs on one side and out between two on the other. Bullets do weird things when they leave the barrel sometimes, animals are resilient and tough and shot placement is everything when hunting.
I have as much or more confidence in my .243 than in my mags or .30 caliber rifles. Every shot I have made with it this season has been a one shot smoker that resulted in corn pile dead or 20 yards of tracking.