As your engine does not have a decompressor it would be hard to turn over by hand on the flywheel.
I would check the battery cables. Make sure all your positive connections from battery to start solenoid and then to starter motor are good. Also make sure you have a decent earth.
A good way to test this is to use a good battery and crank the engine with some boosting cables directly on the the engine block (negative) and direct to the starter (positive). If the engine spins over freely with this test then you have a poor connection somewhere.
If you have the same problem I would suggest checking the valve clearances. With your side valve engine this can be done by removing the breather behind the carburetor.
Download the manual for further instructions:
http://www.powerproducts.co.za/technical/briggs_270962.pdf