Maybe. The Zoning Code limits where additional parking spaces can be located. Here is the typical situation where a driveway cannot be widened:
The Zoning Code does not allow you to widen a driveway to create an additional parking spot within the Parking Setback (CC3312.27 (2)). The straight orange line in the image below represents the Parking Setback (the Parking setback is measured from the front property line which is shown in blue, back 25'). The area with the zig zag green line is the area where you are not allowed to create a parking spot by widening the driveway.
Example of a 1-car driveway that can't be widened:
Example of a 2-car driveway that can't be widened: