It is possible, but this has nothing to do with printer profile.
Go into printer adjustment, and into Epson properties dialog. Select user defined paper type, then select 16 inch wide and 11 inch long.
When you get back to LR, the print module will show paper size as 16x11, but your cell will probably still be your old value. Adjust the cell to 15 x 10 and make sure it is centered. You may also need to modify image orientation (though in most cases LR adjusts this automatically)
Select the image and print. I would double check the printer page settings in print dialog which comes up when printing. I also always check print preview to verify that layout is correct (print preview colors are always off and should be ignored).
I do this kind of printing all the time, and if you have problem figuring this out, I can post screen shots on how to do this.