I believe so, yes. Unfortunately there are no photos of this watch or the case in the specific Omega Database I'm looking at, so I'm going by descriptions. Dating the watch would be by the serial number - that is in the small circle on the movement, and it is 36647304 I think. Going by lists found on the internet this would be roughly 1973 production.
I tried to look up the number you stated on the clasp, but didn't get any results. This being sterling silver, you might want to visit a jeweler who could possibly fit a small chain that would act as a safety - these are common on some small vintage ladies watches.
One last thing - if the watch hasn't been serviced since you bought it, it would be a good idea to get that done.
Cheers, Al
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