I'd be surprised; the intuitive way of looking at Gödel's theorems is to consider the following statement:
What is proveable is true
Given the intuitive understanding of what is understood by proof, this appears to be trivially true, and not a statement that one would object to; interestingly, this means in Kants terminology, that it is an analytic proposition.
but consider now it's converse:
What is true is proveable
This is much more problematic: that God exists may be true, but unprovable.
Now, Gödel showed, via formal languages, that there are true statements that are unproveable; so the above is actually false.
Can Kantian antinomies show the same thing? If so, one can largely say they, if not anticipating Gödel's exact result, have a family resemblence to them.
But this doesn't appear to be possible, since both statements in a Kantian antimony are plausibly true, in Kants own hands this means there is a limit to reason, whereas in Hegels and Priests readings they are more akin to dialethism.