No that won't work. The 5 efile limit is from the IRS. It's to prevent fraud and people filing fake returns. To do more you have to sign up as a ERO - Electronic Returns Originator and be an authorized E-file provider.
https://www.irs.gov/e-file-providers/become-an-authorized-e-file-provider
Maybe you can use the Online Free Edition to file for someone? Or the IRS Free File, it can do more kinds of returns than the Turbo Tax Free Edition.
https://www.irs.gov/filing/free-file-do-your-federal-taxes-for-free
To do more than 5efiles you have to buy Intuit Products for Tax Professionals at https://proconnect.intuit.com
