Not if you use several bandaids and the bandaids your using don't have that sticky tape on the side of the gauze pad. Go spend 1.50 on another box of bandaids if thats the case and buy some neosporin while your at it. Its better then ripping the cut open time and again and probably expanding it if you do. How wide/deep is it though, it might not even be able to seal on its own without stitches if its pretty open. When the skin dries from you losing moisture through the cut it will probably open the wound even further so my advice is to make sure you wrap it tight enough to keep it closed with the athletic tape.
It already sounds like it could use a few stitches as it is, you might want to have it done right.
It already sounds like it could use a few stitches as it is, you might want to have it done right.