I am not convinced that they could within any foreseeable future. They may be able to prove that the knowledge is in there, or they may be able to prove that
you think you are lying, but proving that you are
truly able merely unwilling to actually vocalize that data is another matter entirely. Hell, there are disorders that render you unable to vocalize your own name, despite knowing full well what it is and
wanting to vocalize it.
Who is to say that "It is on the tip of my tongue/fingers, but I can't seem to say/type what it is." does not, under an MRI, appear to be "He knows what it is, but won't say/type it."?
I'm sure you could find expert witnesses willing to be paid to argue either way exactly what the MRI is or could be indicating.