Basically YES
it would be very beneficial for you to consume protein both before
and after your workouts weither you are doing weight training, cardio or both on the same day.
The preworkout protein does not have to be a protein shake.
I just drink a shake because it is convienent. Your pre workout
protein source can come from solid foods if you would like.
But post workout protein should always be in the form of liquid for absorbtion purposes(Liquid is obvioulsy absorbed faster)