Yes---you can enter your spouse's SSA1099. Click Add SSA1099 and it will ask you which spouse the SSA1099 if for
Go to Federal> Wages & Income>>Retirement Plans and Social Security (SSA1099 and 1099RRB) to enter your SSA1099.
When you are entering income on a joint return, every income entry screen will either have a spot with both spouse’s names there, or when you click to enter a W-2, 1099R, etc. it will ask you by name which spouse it is for. You do not have to wait for the software to “ask” you for your spouse’s income.