Can Shock absorbing lanyards be reused after a fall?

No. In the process of saving YOUR life, the shock absorber portion of the lanyard is destroyed. Some work by a controlled ripping apart of a fabric strap, some by controlled breaking of stitches, but both are good for ONE arrest of a fall. The body harness should ALSO be replaced. A retractable lifeline should be returned to the maker for inspection and repair as needed.