Indeed there will! And to be critical of Fierce PC, they could have easily mitigated this problem by not using F versions of the i3 and i5 processors - that way, all three models being sold would be able to boot, display the OS, even play some very basic games. In other words, they'd actually be usable.
In some way, I get what Fierce PC are trying to do here: they're offering an almost-full system upgrade for those people who've got an old PC, with the idea being that you could transplant the graphics card from that machine into the new one. Thing is, if that old PC has something like a GeForce GT 710, throwing a new system around isn't going to make it any better.
Interesting, the page for the 'No GPU' range has gone: