Yes and no…
Most of the time the size of the eggs you use doesn’t make a difference EXCEPT in baking, where measurements matter. Even then, if your recipe calls for just one, or maybe two, eggs You’ll probably be ok in the difference between a large and extra large egg. ( I don’t even mess with medium eggs) BUT , the larger the number of eggs the more size matters.
It takes about 5 large eggs to make one fluid cup, but only 4 extra large. So, in baking, using the wrong size egg can affect the texture and consistency of your recipe.
Large Extra Large Jumbo
3.5 tablespoons 4 tablespoons 4.5 tablespoons
4 eggs = 7/8 cup 4 eggs = 1 cup 4 eggs = 1 1/8 cup
So, you see, there’s about 1/4 fluid cup’s difference between 4 large and 4 jumbo eggs and that difference CAN matter.