Question

A thesis statement can be controversial.
A. True
B. False

Answer 1

Yes of course it can be, a thesis statement is simply establishing the point that you wish to make. 

Answer 2

TRUE

Surely a thesis can be controversial. Especially if the result concludes a paradigm break for science. Most scientific studies are usually answered. The same subject may have divergent results.

For example: the question of egg do good or bad for health. Several studies prove that the egg does well. But several other studies say the opposite.

This is make science!