Can ketones next to a nitrogen hetero atom tautomerise?
If I understand your question correctly, I think you're asking if an amide can enolize like a ketone.  The answer to that question is yes.  



The enol content of most organic compounds is very low and special methods must be used to measure the enol content.  Perhaps the question becomes, "is there more or less enol content in an amide than in an ester, for example"?  

We can draw resonance structures for an amide (or ester) showing that the nitrogen stabilizes the amide.  But above we also drew resonance structures showing how the nitrogen can also stabilize the enol.  We can draw similar structures for both an ester and its enol as well.  Although in the ester case we wind up putting a positive charge on oxygen in some of the resonance structures, so they might not count for as much as they do in the amide case - but both the starting ester and its enol would both be affected similarly.  So as a first approximation I might guess that the enol content in an ester and an amide would be similar.



Indeed the enol content in malonamide is similar to the enol content in diethyl malonate (see page 34 here)