Spatial Manipulation is in the Colonization tech tree between Artificial Gravity and Interstellar Travel for me, playing as a carbon-based life form. What race are you playing? Silicon or synthetic maybe?
Once you have that tech you should be able to build a ship called a Stellar Architect. It requires an administrator just like a colony or constructor. Each architect ship can build a hypergate, and once you have more than one of them you can connect them to form hyperlanes.