I've just noticed that while the game is present on the site, there's only a one-level shareware demo (STORM0.ZIP), whereas the game also has a complete shareware episode called "City under Siege" that can be distributed for free as per the Apogee model. Here are the downloads:
Space Chase Shareware v2.00d: STORM1.ZIP
Space Chase Shareware v2.02d: STORM1A.ZIP