Is there a way to embed CTA code button into another button on the site?

First allow me to appologize for the title of this, its the best I could come up with.

CONTEXT: I have CTA button on a website that I need to link it to a 3rd party online application. The problem i have is that the 3rd party only provided us with an embed code that either (1) embeds a lead form with its own CONTINUE button before going to the application page or (2) embeds another START BOARDING APPLICATION button before it sends you to the application. 

WE CONSIDERED: Why dont we just embed one of those into our page instead of our CTA button? Because their form/button branding, style and fonts are completely off and different from ours. And there's no styling within the embed code itself. Plus we don't want all that extra writing and verbiage.

QUESTION: Is there any way to hide the 3rd party embed code in my CTA button so I can keep my CTA button and then once its clicked on, it bypasses (2) START BOARDING APPLICATION button and goes straight to the 3rd party application?

Hi,

Can you provide embed code? We can test it easier