Get fitted and find out.

More than likely, your span will be very close, but unless you're very neutral, you'll need to change your lateral pitches.  I can throw my right handed stuff lefty for a few games because I'm at "0" lateral in the thumb, but the finger pitches wouldn't be good for me long term.

If you just want to experiment to see if your injury heals, try it and see.  If the switch is more than likely permanent, you'll probably want to get re measured and re drilled.  I know if I were to change permanently, I'd want to drop at least a pound of ball weight to start.  I throw it well, but at 13 mph, I'm rev dominant and I need to throw plastic most of the time.
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Penn State Proud

Ron Clifton's Bowling Tip Archive

If you're throwing a ball that has any kind of core other than a pancake core, you will likely have to get your ball re-drilled...especially if you're throwing something with an asymmetrical core.  The exception, I suppose, would be if your ball has a symmetrical core and the pin and cg are both pretty close to the centerline.

What kind of ball are you throwing?
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I wanna be a house hack when I grow up.

http://averagebowlersballreviews.com/

Thanks to everyone who responded to this topic!!