Will a small hit or bump make your nose bigger or create a dorsal hump?

Nasal trauma can result in a nasal hump.  Squeezing or massaging it is unlikely to have any beneficial effect.

Any trauma can change the shape of your nose by causing swelling but generally will subside quickly. It takes a significant amount of force to fracture an displace nasal bones. Most basic trauma will subside in 3-5 days.

An occasional bump will not make your nose bigger. You may be swollen right after the injury but after the swelling resolves you should not have a larger bump unless the bones were broken. How would you know if the bones were broken? An x-ray or examination in person would give you the answer you seek.

 Trauma to the nose can cause a displaced, or a non-displaced nasal fracture. In addition, the upper lateral cartilages could be dislocated off of the nasal bones. Fracturing of the nose can also create a fracture of the nasal septum, also known as a deviated septum. A physical examination and x-rays can determine whether a fracture is present. Repetitive minor traumas to the nose create a calcium deposit/ callus formation along the bridge line which equates to making the dorsal hump larger. A rhinoplasty procedure can accomplish shaving down the dorsal hump which is usually composed of both bone and cartilage. For many examples, please see the link and video below

A nasal hump can be worsened by any irritation i.e. bumping, rubbing, etc. These can be corrected with a closed rhinoplasty which only takes an hour on average to complete.

It takes a good deal of  force on the nose to cause a disruption of the cartilaginous or bony framework. But this will not cause a growth of a hump. There may be a dislocated piece of bone that gets visibly elevated. More often than not, what you get from trauma is depression of a side wall or a crooked nose and maybe a deviated septum.