If a plane yaws either right or left, will it have a tendency to drop the corresponding wing(ex. plane yaws left, will it likely drop the left wing )? Thanks.

The simple answer is "Yes"

It's a bit more complicated, but IF the plane is going to drop a wing just from Yaw, it would be on the side it's yawing to

Thanks Minn. Appreciate it.

That Depends: There are some airplanes that will NOT roll in the direction of applied rudder and subsequent yaw. In my 41 years of 1:1 scale, I never experienced such, however in models I have done so on a number of different models, all low wing.

The old Top Flite Contender was famous for it. Apply rudder and the machine yaws to the proper direction, then rolls opposite. Until that was discovered many RC pilots had many problems when using rudder trim for maneuver tracking, that the aileron trim also instantly became a problem. The old Sterling SL-62, a great flier, suffered the same characteristic. I had a scale ME-109, 40 size, that did the same, even though the stab was mounted high when compared to the rudder.
Now the two popular models, Sky Raider M-II and the "Racer", being used in Club 40 racing also have that characteristic. Rudder right, yaws right and rolls left, and the same results when rudder left.

Except for the ME-109, all models that I have found to do this, have had a high rudder placed well above the low flat stabilizer/elevator.
Makes for interesting conversation.
Sorry Minn Flyer, but there are no "simple answers" that always work. As the old cliche states, "It's not so much what you don't know that hurts you, as it is that which you know for certain that ain't so!" I believe that was a Will Rogers thing, but don't know for certain.