The fundamental function of consciousness is information processing. This sentence is significant because it talks about information so we define it.
What is information?
Information in its basest form is the answer to a yes or no question. Black or white, 0 or 1. But does the answer to a yes or no question exist if there is no physical substratum on which the question can be asked/answered? This is how I understand you question to be. You are asking that is consciousness possible without the human form and the quick answer to it is no, not capable of being experienced by anything anyway.
In other words, does a question exist if it's not written in paper? What about a mind? Awareness of the question predicates its existence, but at the same time, without a physical hard-drive or measurement or disturbance in the physical world, you cannot expect an answer from the same physical realm. It's like trying to use USD in Brazil, doesn't work but it doesn't invalidate it yet.
If consciousness is not in a human form without the human surface(skin) and human sensors(eyes, tongue etc), does it make sense to talk about a consciousness with humane properties without a human body? We enter the realm of the abstract. In abstract space, the most perfect circle exists, yet we know it's not possible to physically realise this circle the same way a thought exists in the superset of all thoughts that are possible to be thought about yet unless it pops into someone's human brain, it is not physically realized or become an object of awareness.
Human consciousness is strongly associated with the ego a person has built over the years. From object permanence to qualia associated with each wavelength of light, to the picture of their parents and pets, all of it plays a role in designing the lens through which the person is capable of seeing the world. If one really wants to let these go and enter in a state of pure consciousness, he must leave behind the physical markings too, because they are not required for consciousness. That includes memories, logic, and everything that was learned from the physical realm be returned to it.
Once that is done, the only consciousness that remains is that which is permitted by the laws of physics. Like a deep coma sleep where you are aware of the way your body is tumbling and handled yet you have no opinion about it or can do anything about it. You just observe that. When your body dies, the brain processes sustaining your consciousness cease too and now your consciousness is truly free from all kinds of physical contracts.
What would that look like? Again we can go back to our abstract space. We return to this space where the perfect circle exists too, but nobody ever knows what a perfect circle is. You might picture it in your head but if we were to print your thoughts, it would only give us an approximation of that circle. Your consciousness removed from everything physical is just like that circle. You cannot comprehend the infinite points in a circle, nor can you comprehend non-human consciousness.
You know there is a perfect chance that this is the only universe that is ever going to happen in all of eternity and that this universe well as might would have had all the perfect conditions to support life but yet, just by pure chance, every life starting chemical reaction somehow failed due to quantum accidents, just by pure statistical chance. If that was the case, then all consciousnesses would still remain in the abstract space and all questions and answers would still remain too. But if you don't write information in a universe or in a piece of paper can it really need an answer in writing?