Yup. I'm a big strong guy, I used to run when I was over 130kgs. It's totally fine, I've never had even a minor injury (cycling is a different matter). If my knees ever give me trouble it's when I haven't been running for a while.
Running is so natural for humans. I used to run "barefoot" (no runners or padded shoes) on rocky roads in the dark. I never got wrongfooted, your body just adjusts. It's amazing how your body can adapt to the environment.
