You can certainly try. When I moved my Pullrite from my 2004 to my 2015 and used new frame rails, I couldn't see how to do that. Now room to get anything up there (at least with my big hands) I just drilled oversize holes from the top by measuring add suggested. Not exactly centered, but they work.
2016 Jayco Eagle HT 29.5BHDS (ordered 12/30/15, delivered 3/8/16)
2015 F-350 crew cab, short bed, 6.7L PSD, Pullrite Superglide 3300 hitch