Yes, you shouldn't have any problem. Our Reese is just like the one above, two pins hold the plate and four hold the base. Just pull the little clips, pull the pins and pick up your plate. Same with the base, only you have four pins and it's a little heavier. I'm no superman, but I can get my hitch out of the bed in less than 10 minutes, if I don't stop to have a beer between tasks.
I have a 16k Pullrite. It breaks down into manageable pieces and I can remove and install it in 10 minutes or so. I have the super rails so when I remove it the bed is clear.