First, determine if it is a wheel problem.
Take the wheel off and turn it around and re-mount it. Is it still closer to the same side of the fork? If so, it's your fork/frame that's buggered. If it is not, then it is the wheel and you are probably better of having a local bike shop re-dish (center the wheel to the hub).
Once you've ruled out the wheel as a problem, yes - v-brakes can be adjusted. There should be a small screw sticking out at right angles to the pad. That screw adjusts the spring return pressure. Turn it 1/2 turn at a time clockwise, to increase spring pressure and move the pad further away from the rim. (Or do the opposite and turn the screw counter-clockwise on the pad that is farther away already. Or a combination of both. Small turns at a time however, while you determine if it is helping or hurting.)