Hi wendy and Welcome to the forum, you might want to have a look at the following FAQ which explains where everything is
Welcome to Benefits and Work The quick answer to your question is 'yes'.
The longer answer is that both benefits are awarded because of the problems caused by a condition rather than the diagnosis yourself.
These are the basic criteria for the 2 groups of ESA
Qualifying for the WRAG Qualifying for the Support Group For PIP the claimant must have had the care/mobility needs for the previous 3 months, at least, and they must be expected to continue for a further 9 months. If you satisfy those criteria, I suggest you have a look at our PIP self-test and score yourself harshly to get an idea of whether you might qualify.
PIP help for claimants You might want to bookmark/favourite this on your web browser now so that you can find it easily in future. This will allow you to return with further questions without having to start a new topic each time