No because MR2 is the overall name, AW11 is the model.
MR2:
1985-1989
AW10 (1.5 liters Tercel engine)
AW11 (1.6 4A-GE engine)
AW15 (1.6 4A-GE engine, US model)
AW16 (1.6 4A-GZE SuperCharger)
And then there 15 different models with different interiour and equipment
1990-1999
SW20 (2.0 Gti)
SW21 (2.2 US model)
SW22 (2.0 Turbo, 1.gen)
SW23 (2.0 Turbo, 2.gen)
2000-2004 (I think the latest is a 04)
ZZW35 (1.8 VVT-i engine)