I easy answer is no, not on an '81 head unless it was replaced at some point. The early 22R head had two versions that I've seen. The EFI manifold uses a slightly different bolt pattern as your already aware. In '81 the truck and Celica got the 22R, '82 the Celica body changed, '83 and '84 Celica GT and GTS recieved fuel injection. '85 new Laser block released,head and block not interchangable with earlier parts. EFI standard on the last year of RWD Celica. First full year EFI available on trucks.
I personally have owned an '82 and '83 Celicas, Tha head on the '82 only had the carb bolt pattern, while the '83 had both. If I remember correctly there a boss extensions into the cam area where the EFI bolts go in to keep the oil in. I will post photos of both the '82 and '83 heads this weekend it will make it more clear.