No, bed bugs cannot fly. They have underdeveloped wings and are unable to fly or jump long distances. These wingless insects move by crawling or hitchhiking on clothing or other items. However, bed bugs can move quickly and travel long distances in search of a blood meal. They can also climb walls and other surfaces, making them difficult to contain once they have infested a space.
And get this, bed bugs can hitch a ride on a bat; when the bat enters your home, so do the bugs! See the comparison of a Bat Bug vs Bed Bug.