Could be, that is also symptom of flex coupling going bad. It still turns but the rubber is stretched or broken so it's not locked together. I just fixed this problem on mine 6 months ago.
The agitator is easy to remove as I'm sure you've probably done before.
If it turns out to be flex coupling and it's a Whirlpool, I have an extra I can send you free, they came 2 in a package. Whirlpool makes most Kenmore and several others.
CH3NO2
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