Yes, there are several methods that work well for that repair. Carefully drill into the casting on center, and the broken part on center. Drive a roll pin into the main casting, and then drive the broken part onto the roll pin. Make sure the drilled holes are deep enough and line up the casting lines when driving the broken part in place.
Another good option is to make a stud from a threaded bolt, and tap both holes. Install the stud into the casting, then tighten the broken part onto the stud.
Option three is to simply use a brass tube to replace the busted off part. Tap the casting for a 10-32 screw and cut the brass (steel would work) tube to the exact length required. Install the tube, the choke bracket, then the screw thru the tube and tighten it up to pull the bracket against the tube. I use this repair when the broken off part is not available.....Cliff