Are we discussing a cb550 or the 750?
It can happen, I suppose, but usually the rectifier expires before the alternator stator windings.
The Stator wires should be yellow. Measuring resistance between any two of them ought to be around 0.35 ohms assuming a CB550. That's a very small resistance some meters are incapable of measuring correctly. Even then, operator technique can be the difference between good and bad measurements. Describe your ohm meter. Digital? analog? Have you acounted for test lead resistance?
Crude measurements will usually suffice. Insensitive meters will likely read all the stator windings as shorted to each other. But, none of them should have a connection to the engine case.
Next would be the field coil. The book says it should be 4.9 ohms, +/- 10%. across its white and green leads. Disconnected from the bike, neither lead should have continuity with the engine case. If your feild coil is indeed measuring 1 ohm then it is drawing twelve amps at the white wire instead of about 2.4 A, and a likely cause of main fuse cook off.
Usually checking alternator specifics is done after verifying that the battery isn't receiving a charge with the engine running. This is done with a voltmeter on the battery. But, if you can't keep a main fuse in there, that would explain why this hasn't been done.
If you fear your rectifier is shorted, causing the alternator to drain the battery, then disconnect the rectifier and use you ohmeter or DMM with a diode test setting, to check that each of the six diodes only has continuity with only one polarity of the test probes.
If you are confident that the feild coil is indeed measuring 1 ohm, that is a problem.
Cheers,