One of the beauties of angling is I can decide I am going fishing now, without having to consult other members of a team, or a club. So in fact, if you want to get away from it all angling is good for that. However, I am a member of a few clubs, and there's a chance to get on a few committees. There's all kinds of opportunities for the social side of things. And of course when you are there, and there are other anglers, you tend to go around and have a chat.
Fishing doesn't have to be expensive. I think it is helpful to join a club and see what is on offer. It gives you a chance to experience different places, usually at a lower cost than if you organised it yourself. You also get tuition as part of the day if you want it which can be costly if you pay for it yourself. Once you've had a variety of experiences, you can pick what you are interested in and what costs suit you.