Can you receive short term disability from your employer and benefits from car insurance for lost wages at same time?

It depends on the state you live in, the Short Term Disability contract, and other factors.

Most employer-sponsored group disability policies will reduce (or "offset") the disability benefit due when STATE-MANDATED "no-fault" wage loss benefits are payable under an automobile insurance policy. On the other hand, many (but not all) employer-sponsored group disability policies will NOT reduce the disability benefit due when the customer purchased wage loss benefits through their automobile insurance that were NOT required by state law, and it is treated as an individual disability policy. This is a rare occasion when it is theoretically possible to earn as much or even more from the two policies than you were earning prior to the accident.

How it works can be further complicated when you are driving in a state other than your home state (for example, when that state mandates NO-FAULT wage loss benefits you may have them even in that state though you didn't know it), driving overseas (where your auto policy may not provide coverage), driving a company car, or driving a rental car with additional insurance purchased.

As a result, it is always a good idea to apply for all insurance benefits available even if you suspect your total income may not go up as a result.