[mothered]

I met the driver at the door to receive the package, but I didn’t sign off for it. He just asked if the name on package was me and the address was right

The driver's word holds no value when verifying deliveries, hence as far as you're concerned, the package was not handed to you.

Go ahead with the DNA. 

On the site it says I signed for it even though I never did...Is dhl known for drivers saying that the customer signed for their packages or no?

DHL drivers are known to sign consignments themselves, particularly when they're running late for their schedule.

I experience It a few times a week.