Although there is a way of manually creating URLs that specify the XY there is no way of asking SSA to create a URL of what you are looking at at the time and do it on-the-fly (e.g.: a specified zoom level, the layers that are switched on, XY).
Here's an example: https://geo.southwark.gov.uk/connect/analyst/mobile/#/main?x=533918&y=177710&zoom=15. Note that you can also specify the zoom level with &zoom=x and the overlays you want open with &overlays=x. But all this would have to created manually.
PB's predecessor product, Stratus Connect, did have the URL link function which created a URL of what the users is looking at (exactly what you and I want), but for some reason it never made it into SSA. I have been asking PB to include the URL link functionality in SSA ever since taking up the produce in 2016. I don't know if PB has plans to include it in a future release.
Stratus Connect also had a &mapmarker=yes parameter which added a marker at the end of a URL. Someone at PB can correct me if I am wrong but I don't think that has come into SAA. Again, it's something I have asked PB for in the past.