I depends on the router but the answer is likely no.
The router itself could only store it in memory so even if it did keep the data it would lose it on power cycle. The ones that can do it log to external PC. I know it can be done with dd-wrt based routers but it must be configured. Now that I go to look for it I can't find the exact router but I suspect it either had a factory loaded dd-wrt image or some close variant of it.
It's easy way to check.
Go to cmd.
ping ur router r network ip r default gateway.
For eg gateway ip 192.168.1.1 means
cmd
ping 192.168.1.1 -t
weather u get reply means it connected.
destination unreachable means not connected ur pc to router.