I'm a 4w5, and I've recently become aware that I'm undeniably Ne-dom.
It's bad enough that I'm an "extroverted" 4w5 (yes, those are quotation marks of suspicion and irony), but worse I'm not even sure about my Ji anymore. I just assumed that as a 4w5 I should be Fi-dom, but when I study the actual process, that's clearly not what's going on. People tell me my worldview is very Fi (which it is)...yet I'm at a loss to explain all the Ti stuff I do, including the whole "I suck at Fe" sense.
I was certain there were MBTI-Enneagram correlations, but now I'm rethinking that. Maybe they really DO measure different things. (I'm definitely a 4, btw).
Bottom line is, T and F are not indications of how "emotional" you are. They are poorly named and refer to decision making processes rather than emotionality per se. Thinkers are not necessarily "out of touch" with their emotions; feelers are not necessarily more "in touch" (I doubt a low-average Fe-dom 3w2 would necessarily be hugely in touch with his/her true feelings, for instance). So, I don't see why an INTJ 4 cannot exist.
PS-- [MENTION=20044]chubber[/MENTION] I suck at picking up on the feelings around me (except as part of a group phenomenon, usually only when I'm orchestrating that group.) I'm too self-involved for that. One of the many reasons I mistyped for so long. Anyway, if you're also considering 9, do be advised that they are also generally considered MBTI "feelers" and are often more receptive than 4s.