Having previous owned a mini'ed (and turtled) Osiris, yes, you can put dual LPRs on a mini cocker. It is, however, somewhat difficult to do. In my case, my marker had a front block like this mounted on it.
http://www.g3pb.com/product_images/cocker/wgp_angled_block.htmlI believe it was rlong that did the work on the front block. Mine was a straight ASA instead of angled like in that picture. rlong or someone drilled a new hole below the regular hole for the first LPR. Use the straight ASA front block as it will have more clearance. The tolerances are extremely tight and it's nearly impossible to get the threads tapped for the 2nd LPR, but it can be done. You might want to send a message to rlong and see if he can do it for you.
Another possibility might be to use a regular front block and by a 3 directional T. Using the T fitting, you could still put an ASA and the 2nd LPR onto the marker, but it would probably look pretty ugly. Lastly, you might be able to squeeze another LPR using one of those special front block screws they make for Trilogies and put your 2nd LPR onto the new front block screw. You'd need some pretty small LPRS, 3-way, and ram to make it all fit and I'm not even sure if it would all fit. Good luck.