Does anyone know if there is a head injury how long after would LO start vomiting? Is it immediate?

My LO is 3 and earlier today took a pretty big fall off a swing. He landed face first on the ground (wood chips). He cried for like a minute and had a red spot on the side of his forehead but said he was fine and ran off to continue playing. He doesn't even have a bump but also didn't hit any particular hard surface.

He also started with some mild cold symptoms today. Mostly just a few sneezes and telling me he was getting a cold. Otherwise he has been pretty normal all day and eating and drinking just fine. Maybe a little crabby but nothing really out of the ordinary.

A little while ago he woke up and had thrown up all over his bed and continues to every 5-10 minutes. He doesn't have a fever at all. He fell about 11-12 hours before the vomiting.

I am trying to figure out if it's illness related or an injury and if I should rush him to the hospital. The thing that worries me is lack of fever. Obviously I should check with the doctor but it being off hours it will be a while before I can speak to one. Just wondering if I could get a few other opinions too. Thank you!