Can you delete a resonator and add a new muffler to a car?

2013 is not a resonator.  It is a Cat.  Removing the  CAT is illegal.

A 2013 has a Catalytic Converter which is an expensive puppy and gets you "Passed" when they do emission testing.  Without the cat you fail and the car can NOT BE DRIVEN.

.  Do get a clue.  A cat is about $1000 alone. Any garage or muffler shop could have told you that.  You got a Cat and a Muff.

See if you can get you money back on the muffler you did not use.

Auto mechanic 40+ years.

Your car already has a muffler.  The resonator is just another piece to alter the sound.  Put a new resonator if you do not like the sound or just remove it.

Yes but your car will run all f1cked up. 

i would talk to a mechanic about it

ALL a resonator does is change the SOUND of the engine, NOTHING else.

You can fit a non standard system to your existing engine but whether it fits and helps the engine or stifles it is anyone's guess.