Federated hierarchical prometheus missing data replacement

Hi there.
In the course of my work, I ran into the following problem. One prometheus server per site, which collects data using different exporters. I want to transfer this data to a central prometheus server. So far there has been no problem, I solved it with a federal method. The first problem was that if the connection between the site and the center was lost, the site data generated during the outage would be lost. My question is, can this data collected at the site be retrofitted to the central Prometheus server in some way in the event of a network failure?

Thank you in advance for your help!