Of course ! The speed, acceleration, and direction of an object completely depend on the frame of reference in which they're measured.
Example:
You're sitting in a comfy chair, reading a book. In another comfy chair next to you, a lady is knitting a sweater. You see that SHE is at rest, and she sees that YOU are at rest.
Except that both of you are sitting in comfy chairs in Row-27 of a passenger airliner. A person on the ground, watching your plane fly over, sees that both of you are moving east at almost 500 miles per hour.
Are you REALLY at rest ? Are you REALLY moving at almost 500 mph ? ?
YES !
It just depends on who is doing the measuring, and how HE is moving.
