Is it possible to cover the whole spectrum, high SPL, low distortion with a 2-way?

I've come to the conclusion that it'll be much cheaper to use the speaker I got and trying to get it proper than to buy a whole new one...

I'm wondering if a technician could possibly realign the voice coil or if that's not real then I'll just buy the recon kit.

@weltersys What you suggest might work as well but I just don't know how to do it.