Short answer: Yes, unless a law requires you to keep it
You must erase data that you no longer need for the purpose it was collected for, unless a law requires you to keep it. Where a law does require it, keep the data, stop using it for anything else, and tell the person why it is being kept and until when.
What the law says
Section 12 gives the right to correction and erasure. Section 8(7) allows retention only where a law requires it. Rule 8(3) asks every organisation to keep personal data and logs for at least one year first.
Sections 11–14 · Rule 14: People can ask for a summary of their data and who it was shared with, ask for correction, completion, updating or erasure, complain, and nominate someone to act for them. You must publish how to do this.
Section 8(7) · Rule 8: Erase personal data when its purpose is over or consent is withdrawn, unless a law requires you to keep it, and have your processors erase it too. Rule 8(3) asks every Data Fiduciary to keep personal data, traffic data and logs for at least one year for purposes listed in the Rules.
Steps
Log the request and verify identity.
Check the retention schedule for each record type involved.
Delete what has no legal reason to stay, including copies with vendors and in test systems.
Mark what must stay, with the law and the end date.
Reply in plain words: what was deleted, what is kept, why and until when.
Evidence to keep
Erasure log
Vendor deletion confirmations
Reply to the person
Common mistakes
Refusing every erasure request 'because of backups'
Legal & compliance: Approve the list of laws that require retention, so front-line teams can explain refusals correctly.
Operations head: Front-line teams need a simple answer for 'delete my data': log it, pass it on, and explain the timeline.
Customer service department: Explain clearly what can be deleted and what the law requires to be kept.
What a good answer from management sounds like
“We erase on time, keep only what the law requires, and explain the difference in every reply.” Effort and time: Medium · depends on how many systems hold copies.