No that sounds too incestuous, and would encourage double-counting bias or even plagiarism of the systematic review. However, I would admit that a metastudy of systematic reviews has useful and interesting value. For example you could prepare a metastudy report on systematic reviews of Medical Imaging and Medical Education ;-)
When doing a systematic review study, you need to first develop a method on what studies to include/exclude. E.g., most only include empirical studies that collected primary data and that focused on a particular set of constructs/relationships. In this case, other meta-analysis and systematic review studies will be automatically excluded. In other word, design a method and follow it.
However, it is a good idea to use those in your lit review and justify the importance of your study. Hope it helps!