Can I plumb this restaurant sink this way?
I have seen this done with bad results due to the weight and abuse a large fixture goes thru with accidentally knocking pots and pans into it. My suggestion would be to use galvanized pipes not black pipes those are for gas lines but I have seen it many times.  The size of galvanized pipe usually in such small size is fully threaded so get one a little longer than needed and add a large pan washer to distribute weight and add a galvanized thin walled nut to add support then add 2 brass angled pex quick connects at 3/4 inch and pex it to your existing pipes with appropriate push in addapters.  This will give strength to the faucets structure and add a way to quick disconnet the bench from the wall if need to be moved or cleaned behind. Just a few ways  I did mine and with casters i can load it onto the lowboy trailer and travel with the shop.☺ Have fun!