Is it possible for someone to not have any talent or skill they’re really good at?

You have to know that everyone with a talent worked for it. The only reason you don’t have talents is that you haven’t worked for them.
No one just “possesses” talents, like it’s a watch or a cell phone, something they could buy, receive as a gift, or keep in their pocket.
People gain talents through practice, and if they stop practicing, they can lose them.
I can draw, for example, and today it may appear that I just “possess” that talent. But I can draw because I spent hundreds of hours during my childhood drawing. If I don’t draw for a long time, I’m not as good when I come back to it.
It’s also never to late to develop a talent, but the key is always to put in the work. I learned to play the guitar at 29 years old, and I did it by practicing, for hundreds of hours.
Some talents take a long time to develop. I learned to write and research over decades of doing it. My first papers were, to put it mildly, very bad. Now I think I write well. But as with everything I do, I always work to get better. People who are good at things never did what you’re doing to yourself: they never told themselves they were not good at something, they told themselves they weren’t good at it yet.
With practice, you can have any talent you want. You’re being too hard on yourself. You can do anything if you put your mind to it.
What do you want to be? An artist? A scientist? A musician? Whatever it is, go work at it. Just because you can’t do something now doesn’t mean you won’t be able to do it later. That’s what learning is. Go draw a shitty picture, but don’t say “I’m a bad artist” because you drew a bad picture. Instead, draw another one, and you’ll see, it will be better. Draw more after that, and they’ll get better too. Read books about how to draw, take lessons, get tips from pros.
If you only draw one picture, see that it’s really bad, and then tell yourself you suck and quit, you will always suck. If you draw another and try to do better, you will do better. Keep doing that over and over, and eventually you’ll have find you just have a hand that works.
No skills are inborn, and there are no shortcuts to getting a new skill. Every person with a talent paid for that talent with time. No one is good at anything until they practice.
If you want a talent, stop telling yourself that you don’t have any talents; tell yourself that you don’t have any talents yet, then go put the work in to get one.