Not normal. Most Honda clutches grab close to the floor. I have about 7k miles and my clutch grab point hasn't changed.
I'm easy on car clutches, having changed a couple in used car purchases and knowing what a pain they are to change (though not expensive doing it yourself).
My drag race starts are reserved for motorcycles (keeping engine in narrow power-band), where clutch parts are cheap and fairly easy to change.
I feel the same way about my clutch, I only have 1k km on my car so far but for some reason, it feels like I have to bring the clutch pedal high before it bites. So it might just be how the car is but hoping someone with more experience with type r has thoughts.
While I had mine at the Dealer to get the Alcantara accessory wheel installed I asked about that. The service advisor spoke to several techs who said it was normal. /shrug