No, from the pic you have put up it looks like all they did was cut a hole before the muffler and added another pipe. Now if you want to do it right you are going to have to replace the section of pipe where they add the 2nd pipe (I.E. where they cut the hole) you can’t just cut off the pipe and think it will be ok. Fumes will gather under the car in get in the cockpit and make you sick, or worse dead. Take it to a muffler shop and see what they can do. Hell they might do it for like $45 if you hit a mom and pop shop.

Dude from the looks of that your car must be loud.