Would Apple still exist without Wozniak? Nobody knows
Luckily we can test your theory. Woz left Apple in the late 1980s. What happened to Apple. Did it die? No. From the history of Apple, its obvious that Jobs with Woz is able to make a massive influence on Apple.
The question is less "Can a company like Apple function without a Woz" and more "Can a company like Apple form without a Woz".
To 'test' this theory it would be better to find an Apple-like company that formed without an obviously Woz-like figure. I think there are several examples of varying quality.
Luckily we can test your theory. Woz left Apple in the late 1980s. What happened to Apple. Did it die? No. From the history of Apple, its obvious that Jobs with Woz is able to make a massive influence on Apple.