Mmm... yeeess... Sorta-kinda... I am not sure how easy it is to harden a missile against EMP counter-measures, but I suspect it might be a routine part of nuke design. Remember that nukes seemed likely to arrive in large numbers in the cold war anyway. Maybe not now of course. Now, if you are about to level a country with nuclear carpet bombing, then it would be a shame if all but your first couple of bombs were useless because the subsequent lot were put out of commission by your own EMPs.
OTOH if you had to send your bombs in one at a time, that would be a real nuisance, making for n unacceptably slow and tedious war, wouldn't it? So for my money, Either EMP-hardening or impossibly precise synchronisation of your blasts would be necessary.
Conversely, if you wanted to intercept nuke missiles with other nuclear bombs, they would have to be clean enough not to poison your own country, small enough not to scorch your own country, and well-enough aimed to fry incoming, without wasting ordinance on decoys. Not easy.
Or you could send up electronic, conventional-explosive EMP weapons. I don't know how well they compare with nukes in cost, range, and effect, but although they would not strew radioactivity round the country, they too would present hazards to one's own side as well as the incoming, and the two effects would want some balancing.
As I see it anyway.