Yes, you are able to wash your GORE-TEX® jacket and it will not hurt it. Actually, washing your jacket will help keep the DWR coating on the outside of the fabric activated, which keeps your jacket from absorbing water.
All clothing items have cleaning instructions on a tag on the inside of the item. Be sure to follow these instructions carefully and zip all the zippers to prevent any damage to the item.
For additional information regarding Gore-Tex washing instructions please visit: www.Gore-tex.com/support/care/washing-instructions