No, unless he is married. None of his SS is taxable and the $5763 of other income is below the $12,000 filing threshold.
If he is married, his spouse's income must be considered.
Social security only becomes taxable when added to sufficient other income.
Social security (including SSDI) becomes taxable when your income, including 1/2 your social security, reaches:
Married Filing Jointly(MFJ): $32,000
Single or head of household: $25,000
Married Filing Separately and lived with your spouse at any time during the tax year: $0