Without knowing what speed checker app was used hard to say, if its the ookla/speedtest.net one then happy enough to say that shows that 69 Mbps is a real speed.
Does this prove you should be able to get the same speeds?
NO
Issues...
1. Lines are not all created equal they may be lucky and on thicker copper with less joints than you
2. Routing can be different for two different houses even if going to the same cabinet
3. They may actually be connected to a different cabinet
4. Their broadband hardware may be working well with things like low target noise margin and G.INP which can boost speeds and yours might be stuck in interleave mode
5. If on two different providers, it maybe you are on a stable DLM profile whereas they are on the speed one, which affects how the DLM behaves and is set by the retailer when they order the service and they usually use the same profile for all their customers.
6. How certain are you that the cabinet is actually 800m away and not say 400m
Can you get it fixed?
If the speeds falls below the fault threshold then they might look at a fix, but more often at these sort of speeds they will look at the 800m and 50 Mbps and simply say no fault, and even if below fault threshold the ultimate remedy is to let you walk from the contract.
In short many variables and with no location information to go on, very difficult to say a lot, and people can be a little short as the Internet has a long history of people claiming and insisting various things and one day they slip up and the veil slips and reality appears. So past behaviour of others leads to people being naturally sceptical.
Or put another way, connection speeds above 70 Mbps on 800 metres of copper is approaching a record for VDSL2