Yes, absolutely. Many weed killers are available to homeowners. Provided you follow the instructions and choose the correct one for your species, you should be able to kill off weeds without damaging your lawn or other plants.
Beware that some weed killers will also kill bluegrass, fescue, bentgrass, bermudagrass, ryegrass, or other individual species.
Many homeowners opt for professional lawn care services — like TruGreen — for an easier and safer solution to weed infestation.