There's a lot of dimensions that say probably not beyond the length.
I don't think it's going to be wide enough from that drawing...strut tower bolt to tower bolt is only about 27 inches...count on losing 4 inches for the steel on the towers themselves, and a little more between the frame rails.
With 2.5 feet of length (rough guess, the measure to the weld point of the A pillar is 3 feet, and it's well behind the firewall), the engine might fit, but a rad isn't with accessories like a water pump...Sure the firewall could be modded, but you'll practivally have the EGR cooler in your lap, and the shifter will be in the trunk if you use a supra manual gearbox...at least you can ignore the driveshaft as you should be able to weld the tailshaft to the diff's input shaft
Doing some quick triangle math based on the diagram, at the rad support, there is 547mm of clearance from the hood level to the bottom of the frame rail. That in itself looks like it might be enough (I don't have my car here to check for you), and you don't have the clearance from the rail to the road listed. Once you know that, you can measure the engine and have a good idea what you are going to need, or whether it's possible at all. That said, a friend who used to swap V8's into MGB's measured mine once and said it was way too tall to fit there, and the cappucino appears to be every bit as short as the MG ever was...