You should be able to - I suspect that the reason it isn't listed in the manual is that the 5347A is a "20Ghz instrument" and the 8482A is only a 4GHz sensor (from memory, somewhere around that as compared to the 8481A which goes to 18GHz).
The connection is the same but I haven't used the 5347A (I think I have a similar instrument around here somewhere but I don't use it) so there might be something specific about the calibration factor entry but that should be fairly easy to overcome by just putting in a temp value if it needs all them to run.
TonyG