DOT Physicals are not required by carriers, they are governed under Federal DOT laws. All carriers require them to meet DOT legal requirements.
That's all true, assuming the cargo van driver has a CDL. If the cargo van driver doesn't have a CDL, then the DOT does not require a physical, nor do they require the carrier to require it.
In cases of non-CDL cargo van drivers, most carriers will nonetheless require a physical for two main reasons, 1) because their insurance requires it and/or 2) for uniformity across the fleet.
If you have a CDL then the issue is moot, since you gotta have the medical examination card in order to get the CDL in the first place. In fact, as of Jan 30, 2012, we will no longer even have to carry the medical card with us. We give it to the State instead, at the time we get the CDL, and they will post the "certified" on the CDLIS driver record for the driver. The DOT and the carrier are then supposed to get that from the State.
Those with annual medical certificates, instead of two years, will have to make sure they give the current medical card to the State.
If there is no medical certification information on that driver’s CDLIS motor vehicle record defined at 49 CFR 384.105, a current medical examiner’s certificate issued prior to January 30, 2012, will be accepted until January 30, 2014 (so you can carry your current one on your person instead of giving it to the State, if you like). After January 30, 2014, a driver may use the date-stamped receipt (given to the driver by the State driver licensing agency) for up to 15 days after the date stamped on that receipt as proof of medical certification. After the 15 days, the proof can be found at the State in the CDLIS record for the driver.
Also,
here's the medical form. Any doctor who does these things should have the form, but if not here 'tis.