Final answer:
A Technical Foul is the type of basketball foul that does not require contact between players; it can be given for behavioral or administrative reasons.
Step-by-step explanation:
The type of foul in basketball that does not have to involve contact between two players is a Technical Foul. A technical foul can be assessed for a variety of infractions that do not necessarily have to do with physical contact, such as unsportsmanlike conduct, disrespectfully addressing an official, or even improper equipment. Unlike blocking, flagrant, and intentional fouls which usually involve physical contact, technical fouls often pertain to behavior and administrative violations.