Yes. The reality is that some injuries are slow to develop, and you won’t notice symptoms for a couple days. For example, someone who knocks their head on the ground might not notice anything wrong. After a day or two, however, they soon begin to feel intense headaches, as well as an inability to think clearly. In this case, you might have a concussion though the symptoms were delayed.
Back injuries are another situation where your symptoms might be delayed. After a day or two, your back could begin to feel stiff and you might be unable to move.