In can in theory. But I can pair with either C, U or A(wobble). So you see, UAI can pair with no problems with all three codons. I have never heard of the absence of the UAU anticodon, but then again, i don’t know them all by heart. But because UAI is present, the absence of UAU would not pose a problem.
My guess would be because G-U base pairing is permitted in translation and UAU would be able to bind Met (AUG) as well as Ile (AUA) thus creating a problem while UAI can bind all three Ile codons, but not Met.