Depends on what you mean by “supernatural”.
As @ragingloli wrote, if something exists, then it does, and is part of the universe, even if we don’t understand it, believe in it, or the way it exists or functions, etc., and the only things not “natural” would be “artificial” – so, things made by people? Facebook Likes are therefore not natural… but are they supernatural, or subnatural?
Merriam-Webster offers:
“1 : of or relating to an order of existence beyond the visible observable universe especially : of or relating to God or a god, demigod, spirit, or devil”
“2a : departing from what is usual or normal especially so as to appear to transcend the laws of nature”
“b : attributed to an invisible agent (such as a ghost or spirit)”
The problem I have in answering this meaningfully is that my framework of understanding is different from the common Christian or skeptical materialist mindsets.
For example, most people seem to miss the point of most religion and spirituality, which is largely metaphorical.
For another, there are certainly spiritual experiences that people have. And it seems to me that relating to them from skeptical perspectives mainly tends to be missing the point/value/essence, and counterproductive in their fervor to deny, denounce, disprove and shame.
The question of whether my analytical materialist intellect can understand or (dis)prove my spiritual experiences seems to me to be mainly noise that tends to interfere with the positive human value in those experiences. If I climb a mountain and have a spiritual reaction to the grandeur and beauty and feel a deep spiritual connection to the living world I am a part of, and instead of embracing and feeling that and being moved by it to experience that connection and be my authentic self, I instead tell myself it’s just brain chemistry then I am throwing away one of the best experiences in life, and that part of me will tend to hide out and fester and die.
If we limit ourselves to only the experiences we fool ourselves we completely understand and have the seal of approval of our (generally very overestimated, BTW) notions of “scientific knowledge”, then we’re cheating ourselves of much potential.
Similarly, I wouldn’t say I “believe in” the spiritual things I experience, because that wording would imply to many people that misleading popular framing of the question. I know that I have had many interesting and valuable spiritual experiences, and that they seem most valuable to relate to in spiritual and intuitive ways, and even if my analytical / skeptical mind can’t help but question what they were and crave to find materialist explanations or whatever, that’s really just a side conversation.
I think many spiritual experiences are linked to our subconscious and give us access to the things our mind doesn’t have direct access to (often because we’ve repressed them in one way or another). But that doesn’t make them not spiritual, and there are many developed spiritual techniques for accessing our intuitions and subconscious and other types of inaccessible but crucial aspects of ourselves, for which skepticism is mainly just an obstacle.
But to answer the question:
I believe in gods and goddesses as useful cultural and psychological (and perhaps psychic) iconic and archetypal templates and metaphors. They are present even in the thinking of atheists and skeptics, and at least exist in that sense.
I believe in superstitions as existing in the thinking of people. They affect people that way, at least. And the mind controls the function of the body, as seen in e.g. placebo effects. They exist not just in the conscious thoughts but in the subconscious as well.
Prayers make sense to me as spiritual expressions, and perhaps in some other ways, but not in the literal “I am asking a conscious literal God to do specific material magic for me” way – though that metaphor is I think useful or at least comforting to many people. I think there is a social context where it makes sense, again in a metaphorical and/or psychological way. For the skeptics who may still be reading, if I know someone is praying for me, that idea exists in my conscious and subconscious and can/will have some sorts of effects due to my psychology.
I’ve seen and heard what seem to be apparition/ghost-like things that I don’t know a better or more useful phenomenon description/metaphor for.
I’ve had various mediumship and shamanic and other types of spiritual and intuitive experiences.
I participate in a regular dream group that often has attunements that I don’t know of any non-spiritual explanations for.