If that box and pair of receptacles are the end of your circuit, you could wire it with just the romex and no wire nuts, and no breaks in the wire, but you need a nice long tail of romex hanging out of the box to work with.
The method may not meet some codes or inspector preferences, but makes a lot of sense because you don't have fewer places for the electrical to fail.
I would suggest having a 12"+ length of romex hanging out of the box. Strip off the out jacket, then loop the ground wire around the green ground screw inside the box. Just outside of the box, loop that same ground wire around the screw on the first receptacle and tighten that screw. Lastly, terminate that ground wire at the ground screw on the second receptacle. Loop the neutral on the first receptacle and tighten the screw, and then terminate it on the second receptacle. Of course, you have to strip the insulation for the loop. Make two cuts into the insulation where you want your loop (3/4" to 1" apart) and then cut between the two with a knife, to remove the insulation in just that part.
This method allows you to connect everything and the wires are never broken and there are no wire nut connections to go bad. I always twist my wires together, trim, and then twist on a wirenut, but many people don't make secure connections.
If this box will have a line going out to another load, then I would connect the two receptacles together with the method above, so the pair only has one set of pigtails and then you will have your line in and line out, for a total of three wires for each wire nut. I use #12 for the grounds and all pigtails with no issues.
I looked for a picture on the internet of what I explained, but came up short.
