Is it possible to put it in place of my current F23A4 head on my 2002 Accord?

 

no

 

F & K aren't compatible without fabrication. You're better off with a K20 block anyway. Much better off.

I would've preferred you did a search for this before asking, but I'll consider this an introductory warning. The only worthy F head is the F20C, which is also not compatible. However there are other heads that will fit:

https://honda-tech.com/forums/honda-prelude-4/arp-rod-bolts-main-studs-f22-h23-f23-h22-1738070/

If you need more, Google it. Hondas are the most commonly modified cars; almost anything you need to know is already out there.
Cheers

 

Aren't the F22A4 & 6 heads worthy?

The K20 in an Accord? Personally I wouldn't waste my time with a K20. I would go with a K24 if I were to swap to a K series in an Accord. But that's just my opinion.

 

dont think there's mounts for that anyway

 

No