Not only is it possible, it happens often.
I have heard from one source that the most common cause of PTSD is child abuse. PTSD is known to sometimes have delayed reaction... it can materialize even years after the event or events.
Symptoms may include anxiety, chronic nightmares, panic attacks, lost memories, flashbacks (where memories of trauma seem to force themselves to the surface), in some cases body memories and physical illnesses related to the trauma, depression... there are lots more. A professional should determine if it is PTSD or something else... there are other possibilities such as other anxiety disorders.
Most proscribed treatment is psychotherapy, and sometimes medications such as Prozac are chosen in addition to psychotherapy.
Most people with ptsd show improvement over time, and many will eventually lose their symptoms completely. But symptoms can be severe, and people with ptsd have a higher incidence of suicide, self-harm (such as cutting) and other problems, so getting help is probably a very good idea!