Since the vast majority of people care quite a bit about having and maintaining friendships, I'd say no, it's not "normal" (as in what is the case for the majority). We humans are social creatures, social relationships and connecting with others play a big part in leading a life worth living for most of us (in fact there are studies on how the quality of your relationships affects your health, both physically and mentally, and its been shown that the better your relationships are, the longer and healthier you live).
On the other hand though, everyone is different, and just because it's not "normal" I don't think it's a bad thing not to want any friends. To each their own, and if that's how you truly feel, then I don't see a problem at all. But I think it's important to question why you feel that way. As others have pointed out, your view on others and social relationships in general is influenced by the experiences you made with them. Being hurt, abused, bullied, mistreated by others can lead to one deciding it's less painful not to deal with people at all.
I myself, for example, have also been at a point in life where I was convinced I don't want or need any friends. This was based on a lot of bad experiences with others, and in hindsight I know it was more of a defense mechanism than anything else. Deep down I just wanted the feeling of rejection and getting hurt by others to stop, so my subconscious decided it was better not to expose myself at all, and I convinced myself that I don't need or want anyone else. For me personally that's a very understandable reaction, and it also worked to some degree. Not attempting to find someone I could connect with meant not failing and getting hurt anymore. But at the same time I took away the possibility for me to succeed. I'm glad my mindset changed after some years and I somehow managed to open myself a bit, and I actually met some pretty cool people. Felt far better than isolating myself.
This is way easier said than done though, and I know it sounds a bit superficial, like "Hey, you just gotta go out and meet people and open up and be friends with them, yay". In reality it's much more difficult, takes a lot of time and even luck, and some people are just too hurt to even bother trying again. I completely understand that. I was at that point, too. Just wanna say that it doesn't always have to stay that way forever.
I don't mean to say that you are like I was, kinda "lying to yourself" deep down. If that's just how you are, and you feel good without friends, then go for it. Nothing wrong with it at all if you ask me.