I like to write from time to time, as for whether it's something you should pick up, I think that's a question better answered by you. Does the idea of writing sound like a fun one to you? Do you have anything you're interested in that you might enjoy writing stories about?
Despite the sort of stigma against fanfiction, in reality, writing fanfiction about a world or character you're passionate about is a great way to get started. Fanfiction reduces the burden on the writer greatly by providing a large amount of the creative building blocks needed to write a good story. You don't have to build up a world, the main characters' personalities and motivations are already established in the main canon for you. If you opt to share that story with an audience, they're probably going to already be familiar with all of those basics as well.
That isn't to say that writing something that will truly captivate people is easy, even in a fanfiction sense. Your challenges in writing an original work differ from that of fanfiction, but the latter is a place where a bunch of fledgling writers get their feet wet into the hobby... which in turn leads to the stigma behind it, since many of those are self-insert fantasies, rather than appealing stories about characters people know and love.