Gaz
Yes, you can do a part-time course whilst receiving ESA but you need to ask yourself whether your doing so is consistent with the reasons that you have an award of ESA, as an example; if you qualified through the Substantial Risk Regulations then many of the things that you will have to do as part of your course will be an issue.
You also need to consider whether this is also the result of an improvement in your conditions, which you would need to notify the DWP of.
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems