Any computer can edit/render videos. but it would be slower depending on the specs.
4gb of ram for rending is't much. and if you watch jayz2cents he renders a 30mins video in 20(ish mins) using the latest I7 4790k and hes OCed it to 4.8Ghz if I remember. and remember that clock speed is't the only thing that matters, an pentium clocked at 8ghz will render videos much slower than a i7 clocked at 3.8ghz