Presumably the broadband service is included as part of your rent. If so, is your landlord reducing your rent accordingly?
Alternatively, the landlord will be eligible for £9.76 per day compensation for the loss of service. Perhaps you might like to suggest s/he refunds that to you and any flatmates once the connection is restored since the landlord could end up getting your rent plus the compensation!
https://www.virginmedia.com/help/billing-and-payments/automatic-compensation
In the meantime there is nothing you can do yourself as VM will only talk to the account holder.
If you have not done so already, look into getting some mobile connectivity on a rolling monthly contract to keep you going until VM is restored.
You could also consider getting an Openreach connection put in on a rolling monthly contract until VM comes back online. These have a higher upfront cost to install but you have no more than a rolling commitment. Some have got by doing that to cover a long delay for a VM repair.
You need to do your own research though to find out what will suit you best.
In fairness to the landlord, cable installation problems fill up endless topics on here so the landlord may well be doing their best and is a victim of VM incompetence just as much as you are.