No... NA cars can't use intercoolers, only SC and TC cars can.
Turbocharged cars get turbo lag because it takes a certain amount of exhaust gas pressure to make the turbo spool up. In high powered applications, the amount of exhaust pressure needed to produce useable flow from a turbo is much higher, thus resulting in turbo lag, wherein you have a very sluggish engine in the rev range below which the turbo starts producing positive pressure.
On older turbos, like the Nissan R390 Road car, this is noticeable, and on high powered ones, like the Amuse CarbonR, it's irritating. On an LMP, a stage 4 turbo suffers a ridiculous amount of lag.
But in ordinary applications on modern cars with new turbochargers and twin-sequential turbos, lag is less of a problem.
With a supercharger, you get ABSOLUTELY no lag, as the SC works straight off of engine-drive speed. In real-life, SCs suffer greatly from parasitic power loss (as the SC drains power straight from the driveshaft) and heat-soak (from the speed of the screws pumping the air inside the SC), with modern SCs, many of these problems have been curtailed, but in real-life, SCs cannot USUALLY make more power than turbos (there are exceptions, but that's a general rule).
NA-modified cars rely on high compression and high revs to make power, like in F1. In real life, this would be impractical and more expensive to do on street cars than TC or SC modifications. Plus highly tuned NA engines can't run on street gas, won't idle well, and have a tendency to break. And we're only talking about 100% hp increases. In real life, many engines can be turbo'ed up to and beyond 100% and will stay street-able and undamaged (as long as it's tuned right).
In the game, you can't fit sequential twin turbos to many cars, thus most have horrendous turbo lag at Stage 4, thus supercharging is better, if you can get it, and if it produces as much power. NA Tune produces usable power in a more linear fashion, but usually doesn't make as much power as Turbo Tune. When it does, it's much, much better.