Yes it's a very popular course, and practically all universities offer it. However, it is not an easy course and is one of the few where you hone both qualitative (e.g. essay writing) and quantitative (e.g. statistics) skills, meaning that it is transferable to a number of roles post-graduation.
OP - if you want to do psychology, then do it. The 'poor' employment statistics will at least be in part because people go after coveted positions such as assistant psychologists (and then don't get them) and don't apply for generic graduate schemes. It is a good degree that can support you in a number of roles or further study