Is it normal to like people at a distance and dislike otherwise?

This is modeled really well by personality type theory. For example, you can model groups with two broad systems of feeling: Interpersonal relating, energy, and signaling vs. Personal values/interests-focus, uniqueness, & authenticity.

You are demonstrating the latter, describing in an authentic way how you are bored/disinterested by the former. People in the same group usually have a "bad boy" side that comes out if it's dragged too much by the interpersonally-smooth camp.

Note that there are attendant blind spots, e.g. diplomatic language & technique, which is sometimes really wise to use, is generally found more in the first group than in the second. Also, one might feel pressure from a third party to act inauthentically, and tow a party line, and then later explode in some inappropriate way because hey--that's BS!

Not everybody likes to hear about it, but a great way to succeed in a world of people on both sides of this divide is to find a way to use the best of both sides when appropriate for the situation. Preferably planning those moves when some patience is available...

I can relate to this. For me, I think it comes from a combination of wanting meaningful conversation (which doesn’t need to happen too frequently because you run out of meaningful things to discuss), having minimal interest in networking based on where I’m at in my career, having less time for frivolous meetups because I have many work and family obligations and want more time to myself, appreciating other things like spending time in nature and wanting to devote more time there, and being more discerning about who I spend time with.

It may change again, and perhaps there will be a point where I want to see people more frequently and frivolously. But right now, I have a strong urge similar to what you describe.

You sound like you are too cool for school. It’s a phase. I’m actually going through it myself. There will be a point where you will want to be less of a recluse, but now isn’t that time. It’s okay. It’s funny, I was never that loner kid in school but I’m going through that loner phase right now. I’m tempted to just start wearing goth clothes and eyeliner. It’s almost as if life is truly anachronistic, and you will at some point live out every role. Linearity was an illusion in an evolving life.

Stay open.

My mom and I are both like this. There's enough to do alone. I think there's also a lot of ambient cultural pressure (at least in the US) to socialize pretty frequently compared to other locations or past times. Obviously there were always people who were super extroverted and would be hosting parties and showing up at their friends' homes all the time, but back when there were only letters and maybe telegrams it would have taken a lot longer to plan to meet.

Something that I've actually enjoyed my whole life is writing letters. (and writing online)

Anyway, to answer the question more directly, I think it's common but those of us who do it all end up being considered abnormal by someone. :P what are you gonna do lol

I am like this. I have enough people in my life, and people who are trying to “keep in touch” are annoying and feel needy to me. I dislike other people’s company much of the time and find that the majority of things that are said are often better left unsaid.

But… I’m not normal by just about any metric, so you may have cause for concern.

There are certainly a lot of people like this (and naturally they are probably not going to be folks we interact with/see much), if it works for you and you still do your best to be a kind person whenever possible then I'd say go for it.

Heard someone say before "my best friends are the ones I never see and talk to" and that's still valid, we're all different.

The book called "Quiet" talks about the "extroverted ideal" and I personally found it to be a good read and recommend it to others

Not exactly the same feeling because I do have few close friends (most of them I don't see very often because I left my home country, without any intention to really go back)

But, I like strangers.

I like exploring cities, chasing hidden bars, drinking some cocktails with a person I have just met few hours earlier.

Converse, debate.

And then never meet again.