With the nose gear as low down and as far forward as it is on the Liberator, I wouldn't think so.
As I recall reading about that they were riding the brakes on takeoff which led to them driving off the end of the runway. The B-24 has a weak nosewheel so hitting soft soil, a ditch or obstruction would cause it to fail, when it fails the airplane nose tended to "tuck under". A gear up landing was not something you wanted to do on a B-24. So, if someone were riding the brakes I can understand how the accident in the photo could happen.
What I can't understand is how someone could ride the brakes without knowing it. The rudder pedals in the B-24 are huge. The toe brake pedals are also large in size and to get your toes/foot on them to actuate the brake you have to get your foot very high on the pedal -- it's really not a comfortable position -- I'm surprised someone could do that inadvertently.
What could happen is if you improperly set the parking brake so that it only partially applies brake pressure it would be possible to attempt the takeoff with the parking brake set. The B-24 is a bit of a pig on takeoff, wouldn't take much extra drag to make a takeoff unlikely.
Luckily for me when I forgot the parking brake it was set properly -- when I released the toe brakes the airplane just sat there with the engines roaring. Oops!!