No. It should be: “We hope you don’t mind our asking about this situation.”
The word “asking” is a gerund, which is treated as a noun. So what we are hoping about or minding is not “us,” but “our asking,” which is a possession of “us,” not “us” ourselves.
ok lang din ba ya halimbawa parang "We hope you don’t mind us: asking about this situation.” merun na : o kaya , haha ganyan kasi ako magsulat akala ko ok lng