Nope. This is incorrect and a common myth. Most engineering disciplines do not need professional accreditation.
How do you get licensed without accreditation?
In the US, you can do engineering work without having a PE, no licensing required, and any degree requirements are usually imposed by the company not regulations. There are only some things that require a PE.
Source: I studied EE, did not get a PE or any sort of license beyond my degree, and worked in defense, and commercial engineering jobs