Yes. Take 3/4 of the meat and 1/4 of the meat and partially freeze both. Cut with a knife into even pies, say, 1-inch.
Evenly distribute the 1/4 meat that you've chopped in the processor bowl then pulse on and off, scraping the bowl sides when necessary to an even and rather fine (ground) finish. Remove to a bowl.
Distribute half of the 3/4 meat in the processor and pulse, but only go to 'finely chopped', not 'ground'. Remove the the bowl. Repeat with the remaining meat. Mix all together very well and then form as Paul suggests. (The point of having a little finely 'ground' is that it will help hold it all together better when mixed.)