You could probably get it down to 2,000 lbs but it's gonna cost a lot of money.
Let's see for an s13 fastback you could:
Gut the interior out including dash, carpet, rear and passenger seatsLightened flywheel, driveshaft, pulleyCarbon fiber hood, fenders, bumpers, and custom carbon fiber quarter glassesReplace both winshield with plexiglassSand the paint off?

Lightweight wheelsStraight-through exhaustRemove unnecessary stuff like radio, speakers, antenna, rear wiper, spoiler, a/c and power anything