I would say no. Social media and LinkedIn are for people with a lot of connections, it only look bad to have none at all. I don´t have LinkedIn but I do had great jobs before that people should see, but... no way, to me it´s weird to do commerical for yourself for everyone to see. If you are good you send it right to the company, not to the whole world to see.
Facebook is the same thing, if you don´t have a social life then don´t join that s**t and feel more lonely, Im not there either for this reason and never had regret it.
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Beauty is fleeting, but a rent-controlled apartment overlooking the city is forever