Absolutely! You don't need a bit of equipment for strength training. Or, if you can afford it, head to walmart and pick up a $15 set of resistance bands for very versatile training.
If you use the SP workout generator (you'll find it under the fitness menu under articles and videos) you can generate a full-body, no-equipment workout for beginners that'll do what you need. :)
There's even one especially for runners! www.sparkpeople.com/resource/fitness_plan_