Can a believer, be oppressed by an Unclean spirit ie Demon?

King James Version Chapter 16

16 He that believeth and is baptized shall be saved; but he that believeth not shall be damned.

Mark 16:17

17 And these signs shall follow them that believe; In my name shall they cast out devils; they shall speak with new tongues;

Mark 16:18

18 They shall take up serpents; and if they drink any deadly thing, it shall not hurt them; they shall lay hands on the sick, and they shall recover.

King James Version (Chapter 8)

16 When the even was come, they brought unto him many that were possessed with devils: and he cast out the spirits with his word, and healed all that were sick: 17 That it might be fulfilled which was spoken by Esaias the prophet, saying, Himself took our infirmities, and bare our sicknesses.