No. This is very easy. The right to be forgotten means: if I’m done with your web service and I want to have my account deleted, you have to delete everything you have on me in a reasonable timeframe and which is not required by you for other laws (such as keeping receipts of my purchases for 6-10 years).
If someone can replay that log step by step (and I think this is the idea of Event Sourcing), and my data shows up in there for no particular reason, it’s illegal.
There is no need for you to archive data, if I don’t want you to create that archive or if I want you to delete that archive.
Also, if I haven’t used your web service after X years, you should send a friendly reminder that my account and all data will be erased soon. If I don’t reactivate, you should delete every information that helps you or anyone to identify me as a person.
Edit: arguing with the purpose of “archiving” is exactly this fucked up weaseling around which companies do to circumvent the law. Take responsibility for your users data and delete everything after a while or on request.