No. Lenses have propriety mounts. They only normally mount directly on the same brand of camera. This is true for most camera brands like Canon, Nikon, Pentax, and Sony. With third-party brand lenses like those from Sigma, Tamron, and Vivitar, they will mount any camera as long as the correct mount for that camera is installed on the lens. Olympus, Panasonic, and Leica use the four-thirds mount so their lenses and bodies can interchange with each other. Consult the link above on the various lens mounts.
Within the same brand, lens mounts may even differ. All brands changed their mounts at some point in their history so expect some film lenses not mounting same brand dSLRs.
If lens and camera mounts are different, there is a chance to make it work with the use of an adapter. This would usually make the use of both camera and lens in manual mode only.
Now you know!