Tyler: Yes you can do it - but it will not be as strong as PW. The 4 inch strips will have lots of places in the glue lines to allow moisture to get in. Keeping all the strips flat and tight will take numerous clamps.
Why not take 3 sections of 1/4 inch PW and laminate them together. It will be much stronger and have no chance to let water get into splined joints. This is the way Jason makes his famous curved transoms- you might want to look at his website to see them . A sheet of 1/4 inch will be much cheaper than 3/4 inch.
Try montanaboatbuilders.com. If it dosen't work for you let me know as I can pull up his info from the instruction manual on his Freestone Guide boat. At the Wooden Boat School he instructed us on building a curved transom- beautiful but a real PITA to build-