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An Independent View of Social Security
Yes, it is likely that at age 62 you would qualify for benefits based on your spouse's work and disability record.
Note that if you take benefits at age 62, these will be reduced from your "full retirement age" benefits (age 66 for someone born 1943-1954).
You didn't mention your work record, but it's also possible you may qualify for a higher retirement benefit based on your work record than as a spouse based on your husband's record.