What is the graphic design term using for this (mean this color splashes)?
And in a nutshell, is there a way to draw scenes like this in PS or AI?
Thanks in advance.
You can find all sorts of Photoshop Paint Brushes of varying qualities that can produce this. Look for some high resolution paint textures and paint brushes. They'll be .abr format if they're actual brushes.
This might help get you started:
Then its just playing with them. Layer them and adjust the colors, curves, opacity and such.
The paper marbling is a very old technique whose origin is similar to the photo of the question and the creation process is similar to the one reproduced in this tutorial from forthemakers.com