The spondylolisthesis in your lumbar spine wouldn't cause the neck symptoms....but as deeannek indicated - if you have problems in one area of the spine you could end up with other problems as well. I had spondylolisthesis and many years later ended up with cervical disc problems as well.
Rt&Lt thumb arthroplasty 2012 ; RT TKR & Bilat CTS 2011
Fusions: L5-S1 (87), L4-S1 (93), C5-C7 ('06), L3-S1 ('10)
C5-C7 foraminotomy 08