Can anyone with diligent work ethic and a continual effort into learning find some place that needs their skills? Very likely.
How well does your skill set match how broad a market? It depends. If you are narrower, or aim higher, it will take longer to find a match.
That being said: if you have sysadmin skills, have you considered an SRE position? Or DevOps?
It may be that you find a better match there.