Lots of people will tell you "yes, you need to learn other people's songs" but I don't think so... Jimmy Page used to sit and listen to records and play along with his guitar, learning every song he could. The Edge, from U2, really didn't learn a bunch of songs but rather learned to play by jamming with the other band members, who were also learning. Two very different guitarists; two very different approaches. If you're improvising to jam tracks or writing and possibly recording your own music and are happy with that, then more power to you. If you want to learn specific songs, or sound like a specific player, then of course, you'll need to learn other people's music. Also, learning songs is a great way to absorb ideas and riffs that can enhance your own playing & writing.

If you love to play guitar, but hate learning songs, then don't bother, just have fun creating your own music. If you'd like to learn songs, but feel you "aren't good enough" or something, just pick something easy, learn it, and see how you like it.