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deck heights:
B16A - 203.25mm
B18A, B18B, B20B, B20Z - 211.84mm
B16B, B18C - 212.39mm
From the numbers posted above, if the header was made for a b16b it will be perfectly fine, the b16a will be pushing it. If you can fabricate basic crap, you could make a spacer between the two halves of the header and run 2 gaskets with extended bolts.. Wouldn't be hard at all with standard tools and some scrap metal.
Or you could just buy the right one.. Get a header for an Integra type R.. Same thing.