If we assume that the object is truly moved instantaneously, without any time passing, then there would be no opportunity for friction to occur during the movement itself. However, friction is a force that resists the relative motion between two surfaces in contact, and it can still come into play before or after the instantaneous movement.
Before the object is moved, if it is in contact with a surface, there could be static friction present. Static friction prevents the object from moving until a force is applied that exceeds its threshold. When the object is moved instantaneously, static friction would not have time to act.
After the object is moved, if it comes to rest in contact with a surface, it can experience dynamic friction, also known as kinetic friction, when it begins to move again. Dynamic friction opposes the motion of the object as long as it is in contact with the surface.
So, while the instantaneous movement itself would not involve friction, the object could still experience friction before or after the movement, depending on the circumstances.