Not easily. The 2m lightstrip has a 6-conductor socket on the end. The 1m extension has a matching 6 pin plug that fits into it.
So if you cut an extension in two, only one half would have the 6-pin plug. The other half would be useless.
Unless, of course, you want to hack the thing with a soldering iron? Word of warning: I tried that myself and ruined a strip. Had to buy another. Not recommend. Not worth the hassle to save $30