It cannot be connected to that pipe.
Assuming existing plumbing is correct....
It will need to be connected to the drainage pipe inside the wall, which can be up to 5' away from where the standpipe is (the pipe you see is the washer standpipe). You may be able to cut in a santee on the washer vent, above the santee for the washer trap and standpipe--this is wet venting, it is not legal in every local and has some very specific rules. The utility sink will need to be trapped, but the vent for the washer is also the vent for the utility sink. As long as you have to open the wall for the drainage, you might want to tee off the water lines in the wall and run this right.