If PVC work is out of your realm of DIY, then yes, a plumber would need to do a little cutting to replace that coupler. Looking at how close that is to an elbow, he might have to go back a little farther to rebuild that. In the meantime, I would pick up a package of JB Weld 5 minute epoxy from Walmart or an autoparts store. You can repair that crack and buy yourself some time until you can get a plumber out to do the work. Get a small piece of sandpaper and scuff up the crack before you apply the epoxy. Also, make sure you remove water pressure from your system, so water isn't trying to actively seep out of the crack while you are applying the fix.