Is there any tmsh command in F5 to find out if the same pool is associated to any other VIP's

From Bash shell can use the following to get a list of virtual servers and pools:

tmsh list ltm virtual | egrep "virtual|pool"

If you know the pool name you can use something like the following with the name of the pool.

tmsh list ltm virtual | egrep "virtual|pool test_pool"

Example output:

[root@ltm:Active:Standalone] tmsh list ltm virtual | egrep "virtual|pool test"
ltm virtual test {
ltm virtual test1 {
    pool test
ltm virtual test2 {
    pool test