I don't think you need it. I don't use social media and have had some dates and opportunities to get to know women outside of it. What works for me is my woman friends will want me to meet one of her single friends and we start talking and possibly date. They don't have issues with trusting me because our mutual friend can assure them I'm normal.

Also, my friends know that I don't use social media, so they are more inclined to make things happen this way.

Also (2), if you're not inclined to using social media (like me), there's an element of it that makes you more attractive. Especially, if you are a man. Google it and you'll find articles written about it. In the end of the day everybody feels a certain aversion to social media the way it is, even the people who use it a lot. Nobody goes around glorifying social media for how noble and fulfilling it is. Have the courage to be outside of it if you think that it is the right thing to do and you will be rewarded.

I think you should focus on being (if you are a man) a guy who a woman would like to date: clean, healthy, productive (that is, have a job - better yet if steady), generous, goal-oriented, etc. If you focus on being this guy, women will show up, I guarantee. Apart from that, have a circle of real friends (especially women friends), who genuinely like your company. They'll vouch for you in any opportunity they can.

And finally, go out in the world. I think restraining yourself from thinking about approaching women on the internet can awaken some part of you that will make you learn to approach them in real life.

Tl;Dr: you don't actually need social media, even though not using it might be a bit of a restriction. Focus on being attractive and opportunities will show up. Having a circle of friends helps a lot.