Probably not. To "cut" acrylic, you'll score it on one side using a scoring tool and a straightedge, then snap it in two along the scored line.
There are special scoring tools you can use for this - they're only a couple bucks - but if you don't get one of those, you might be able to use something else that's got a thin, sharp corner. Maybe the corner of a metal putty knife, or a small flat-head screwdriver. If you're doing more than just this one little rectangle, the scoring tool is a must.