No, that's not feasable.
What can be done though is for you to liaise with the IT staff so that you can submit a similar form from your site to their page. Their page will pick up the values that you submitted, and apply those values to their form.
That requires the permission and modification of the way the page works on their side though.
Please note: web security experts have been working long and hard to help secure web sites, to try and reduce the amount of trouble that any other external web site can cause. You shouldn't be lumped in with that crowd, but the techniques you're wanting to apply are dramatically similar.
Liaise with the other team, and you should be able to come to a mutually beneficial conclusion.
If all else fails, they should be able to whip up a separate page on their site just for you, so that you can direct page to their specially customised page for you.