Think about how the landmasses got from where they were to where they are today. Does it seem realistic that the landmasses could have moved like this

Yes, it does.

Explanation:

All of the continents that are seperate today were in the form of a single giant continent up until approximately 175 million years ago.

They drifted apart in time because of the molten lava that is constantly flowing right underneath the earth's hardened shell. Also, archeological discoveries that indicate the same species of animals/plants lived on different continents such as Europe and America long before humans or intercontinental travel were around.

I hope this answer helps.