Is it possible to be social even with a stutter?

Is it possible to be social even with a stutter? Hi, I'm not used to writing long texts. But I have a few questions that are on my mind: 1.Can someone who stutters be social? I don't like to be an introvert, but my stutter makes me seem like this all the time, a quiet, boring, and cold person. The next question is: 2. how do I deal with it? I stutter when I'm talking to someone, but if they're friendly, they'll understand me, otherwise I end up with impatient people who can't even wait for me to finish. I feel like I've been held back from a lot of things I could have improved on because of my stutter, and I can't achieve them.