If you did not receive the claim then it can be set aside. You will need to make an application, which we can help you with.
Did you fail to update your address with the DVLA after you moved in January? Updating your drivers licence does not update your V5C address which is what they use to issue a claim.
If you have not already done so, you need to phone the CNBC ASAP, preferably first thing in the morning bout 8:30 to avoid lengthy wait and while you are on the phone, you must tell them to email you the Particulars of Claim and also the claimants name, their legal representative, the issue date of the claim and the claim number. You MUST get that information in order to be able to apply for a set aside under CPR 13.2, which is a mandatory set aimed due to the fact that you were never served the claim and could not acknowledge it.
I need a precise timeline of events from the date of the alleged contravention, the date you moved and the date you received the CCJ.
Once you have the PoC and issue date and claimant/legal rep details, then I can advise further on ow to apply.