Can you remove the cylinder head with intake attached on a 1.6L Chevy aveo?

No, you generally cannot remove the cylinder head with the intake manifold attached on a 1.6L Chevy Aveo (or most cars for that matter). The intake manifold is bolted to the cylinder head, and its numerous components (fuel injectors, throttle body, etc.) interfere with the removal process. You'll need to remove the intake manifold *before* you can remove the cylinder head. Attempting to remove them together will likely result in damage to both parts.