I have this lambda expression Expression
Then I pass an instance of a class in there with a method:
It is not possible "out of the box", you may be able to hack something with reflection, but that is not advisable, it will be very backwards.
Edit: Actually possible according to Ronald, but still quite backwards. Hidden side effects like this make the code hard to read and maintain.
Instead your ProcessCommand should take either the whole aClass object or more preferably an IMyCommand interface with .Method() and the additional methods and properties that ProcessCommand needs. Then the aClass.GetType() type should implement IMyCommand.