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 thumb fusion '13. R&L thumb arthroplasty '12 ; RT TKR & Bilat CTS' 11. Fusions: L5-S1('87), L4-S1('93), C5-C7('06), L3-S1('10), C4-C5('13). C5-C7 foraminotomy '08