Yes you can, but the climate would not be similar throughout.
Too many things change climate, a small mountain range can cause a rain shadow. A prairie can cause pop up storms. Warm water meeting cold can create storms. Warm water hitting cold air can create snow. Just look at north America. It's relatively flat, but has huge climate variations in each time zone. Even something as simple as the great lakes actually cause what is known as a snow belt, an area that gets a huge amount of snow because of those lakes.
And the variations get worse the larger the landmass.
Here is a rather simplistic view of the climate zones on Earth. note that each continent has several.
You could define similar as being in the same zone, but even that's not continent wide. And your continent would be larger still.
This map isn't actually climate, but a vegetation map and it gives a good idea of the different climates on a single continent.