Are you trying to point out the difference between religion and God? For example, religion is a creation of man, not God. Therefore you can still believe in God, but not be religious.
Umm,
No you can't.
Definition of religion:
:the belief in a god or in a group of gods
: an organized system of beliefs, ceremonies, and rules used to worship a god or a group of gods
Furthermore, your claim that religion (and you're using the second, more specific, definition) is man made is demonstrably false.