Yes, its possible to scrape three angle plates using Averaging of Errors technique but it's a lot of tedious work. If you wish to pursue this, you may wish to start small and cheap with import angle plates from ebay:
3 X 3 X 3 INCH GROUND ANGLE PLATE WEBBED END (342-153) | eBay
Get three angle plates for your scraping experiment but you might wish to select a design applicable for your later use.
There's a saying in racing circles: ' You cant beat cubic money." Unless you have access to cheap starting materials my suggestion would be to save time, labor, and cost by searching out a granite square suited to your use. Keeping a watchful eye on on-line auction and want-ad resources would be my first choice. Or buy new: Shars has a line of granite tooling that's almost affordable. For example:
1" x 6" x 1" Precision Granite Square.
If you are concerned with an unknown square's accuracy, remember squareness testing is one of the simplest procedures in open shop metrology (the reversal method) requiring only the test object, a surface plate, a surface gage some parallels and a means of clamping the parallels to the test object. You don't even need a reference square. First determine the beam and stock are straight and parallel. Then by using the reversal technique, you can refine your readings to the limits of your DTI's resolution. There's a group of images demonstrating this somewhere.
A square's reference angle does not have to be exactly 90 degrees to be usable. If you know the square's error you can compensate the reading to attain any accuracy desired.
I frequently used a 4 ft hard square when I was in heavy layout back when I was working in m career shop. It was a well made tool but it had been abused and was off by seven thou or so acute in 4 feet. Lay on a strip of masking tape on the side of the beam, mark off tics and numbers for the error and compensation is easy: Bump, check with a feeler, calculate the correction, note the reading. Jim Parr taught me that trick about 1972 Great machinist long gone to his reward. Hope there's plenty of home-brew beer wherever he is.