It might!
How much of an impact will depend on your situation. Can you give more detail about your credit situation, and where you are in the rebuilding process? And, is the CC account that your wife would add you as an authorized in good standing? Is the balance zero or low in relation to the credit limit? Does it report to all three credit bureaus?
Being added as an authorized user has the potential to give you more credit history, add to your average age of accounts, and reduce your utilization.
