When talking about differential forms, it seemst that it is not a serious problem about whether can there be forms on a manifold $M$ at all - it's like they are just functions from some domain and you can construct them freely with ease.
But differential forms are also global sections of cotangent bundles (or their exterior product bundles), then it's like it is very easy to freely construct global sections on entities that is like tangent bundle, not like some general fiber bundle or exotic fiber bundle on which global sections is hard to find.
Is it true and does some properties of tangent bundle make it easy?