most likely yes, unless you can mount the top eyelet higher on the frame. best bet would be to take the current ones off and do some measuring, with the suspension at full compression and full droop.
you could try mounting some temporary bump stops with the 14" while you have the 5-6" lift, that way you wouldnt bottom out on the shock. then remove them after lifting it more. it would limit your up travel temporarily, but that may be better than possibly ruining a new set of shocks.
