Theoretically when Ezra is searching through the list, he could be manipulating the data through energy. We've seen energy manipulation through the force several times in both canon and legends material. Vader absorbed the energy from blaster bolts in The Empire Strikes back, Palpatine created force lightning, and Satale Shan stopped a lightsaber with her bare hand in that one The Old Republic trailer.
To break it down a little more specifically:
When you press the down arrow on your keyboard a signal is sent to the computer. The computer interprets that signal and converts it into an instruction to move the list down. That is then displayed on your monitor. What Ezra could be doing is using the force to create an energy signal within the computer, bypassing the need to use the keyboard. His force signal instructs the computer to move through the list until the force told him to stop when he found what he was looking for.
I don't remember where, but I think one of the tabletop roleplaying games (possibly the old West End Games version) had computer manipulation through the force for Jedi characters. It's possible they just canonized that aspect of the force.