Yes.    Any  person,  including  a  believer,   can  have   an  evil  spirit   in their   body   and/or    their   soul,  which   is  the  mind,  emotions  &   will of   a    person.     However,   the    "spirit"   of    every   human   being    is reserved    exclusively   for   God    to   come   into   &   dwell   in.

Jesus   said,   "that   which  is   born  of  the  Spirit   is  [human]   spirit..."  [John 3:6]   showing   that   when   a   person   is   born  again   [John 3:7]  it   is   the   person's   own   "spirit"    that   is   birthed   by   God's   Spirit.

But,  even  a  Spirit-filled  believer  can  still   have  enemy  spirits  that  are influencing   &   even   attached   to   their   body    (like  cancer  or  some other   physical   affliction)     or     influencing     or    attached    to    their mind,   emotions   or   will,    hindering   advancement   in   Christ.

Importantly,   the    Greek    word    in    the    New   Testament    for    our English     translation    of      "demon-possessed"      has      the     actual definition    as     being     "demonized".      So,   whether   a   person   has an    evil  mindset    or    is    completely   taken   over  by   demons    who control     that     person's     "will"      [Mark 5:1] ,    then   according   to Scripture    that    person    is     "demonized". 
Can  a  believer  be  demon-possessed ?
Copyright 2005 / USLibraryCongresss / Rob Conrad
Related topics:
Operating  under  God's  anointing  of  Power
[ Book / 2005 - "The Eyes Have It" / Rob C.  /  22
Chapters  for  Ministers  who   thirst  to  cast  out
demons,   lay hands on others  with healings and  miracles  following  their  ministry  and  to   "have
their  senses  trained  to  discern  good  and  evil"
as  Hebrews  5:14  instructs. ]
"Behold,  I  give  you  authority  over  all  the  power of  the enemy;     And  no thing  shall  harm  you."    [ Lord Jesus Christ / Gospel Luke 10:19 ]
Can  a  believer  be  demon-possessed ?
D E L I V E R A N C E     M I N I S T R Y   -   T E S T I M O N Y
As  former  Sr.  Pastor  of  Hosanna Christian  Fellowship  &  as  a  minister  in  the  Los  Angeles  Prison  system  as  Associate  Chaplain  for  almost   6  years  I  saw  extreme  cases  of  demon-possession  during  services   I  conducted.   Approximately  40  separate  times  I've  cast  demons  out  of  people  with visible  manifestations  like  flopping on  the ground,   momentary  super-human  strength,   screaming  voices  coming  from  both  men  &  women  with  their   mouths  locked  wide  open,   eyes  fully  rolled   back evil cursing,  stiffened  bodies,  foaming  at the  mouth, etc..  to name  just  a  few.    Of  the  40  times,   approx.  15  of   those  deliverances   occurred   in  Christian  churches  where  I  was  ministering.   EVERY  TIMEwithout  exception,  I  witnessed  God's  mighty  power  like  a  violent  slamming  sledge hammer  come  crashing  down  upon  the  evil  spirits &  driving  them  out  of  persons  for  their  deliverance.   For  every  Servant  of  the  Lord  who  is  baptized  in  the power  of  the  Holy  Spirit  &   is  ready  &   bold  against  the   devil,   then  that  minister   will   find   God's   power   over-rules  every  encounter  with   demon-possession,   decisively  and  with  overwhelm-  ing   violent  force,   to  His  glory.             ~Rob Conrad / founder Patmos Ministries
Demon-possession:
July 22, 2012 / Rob Conrad / Video
"DEMON POSSESSION -- Colorado Gunman"
April 21, 2013 / VIDEO [5mins]

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