Wondering if this is possible? Changing a user password on a remote domain as a self-service tool

I’m not very skilled with Powershell, and I want to see if this is even possible before I work on it.

Problem: Our parent company uses a different domain than we do, as we’re a semi-autonomous branch. Users sign into their domain (which is on a transitive trust with ours) in order to use certain Sharepoint systems and their intranet applications using that domain’s username and password. That password expires every 60 days. As the user doesn’t log into a desktop environment on their domain, it expires without warning and they can’t change it without submitting a ticket.

Proposed solution: I’m hoping to build a web page or standalone tool for our intranet that allows the user to run it, submit their current password (or just gather the logged in user name), double-type their preferred new password, and then that is submitted to a listening application or a watched file on a server that makes the change using admin account credentials.

Does this sound reasonable, and if so, does anyone have any tips to get me started or point me in the right direction?