Depending what strip, when an led is rated at 12v, it is just that, any more or any less will damage it. Your van has the potential to get to over 14.5v. A driver can also be known as a regulator, its the bit that feeds the led power - just fancy talk lol
Most automotive leds will be rated at 9 to 32v, sounds like yours may not be automotive, so needs a voltage reg to keep a fixed 12v regardless of the vans fluctuating voltage. Don't get me wrong they will turn on & work but it will be damaging to them, they may last a minute, an hour or a year but not as long as they should
Just for info, leds don't dim if the voltage goes down, as said this damages them, they dim on frequency. Imagine switching a switch on really quick, this will cause the light output to be different to it switched slowly. Have you wondered why when filming a car with led lights they seem to flash or flicker, that's the frequency doing its thing, this is called pwm (pulse width modulation) we are talking 1000's times per second so don't try this with a normal on/off switch lol. Not all leds will dim either.
Hope that's clear as mud lol.