Dynamic Embedding of Affiliate Links

Hello. I am not a tech guy. I hope someone could point me to the right direction.

Way back when I was using a web scraper software for my site, I asked a coder to make the links in the scraped results page, that point to affiliate merchants, be embedded with my own respective affiliate link. The only issue was that he cannot make the link clicked go to the specific page the URL points to, say to the product page for example. Although my affiliate link was embedded in the clicked URL, it redirected to the index page of the affiliate merchant, not to the actual URL address clicked.

I'm not sure, I think he uploaded a list of my affiliate IDs, with different affiliate merchants, somewhere in my host server's public html folder. The affliliate ID embedding was done through iframes. Again, I am not a tech guy.

Question:

Would it be possible to embed a respective affiliate ID in a URL clicked in my site page without the clicked link defaulting to the index page of the affiliate site? That the URL should lead to the actual page address the link originally pointed to--the only difference now is the clicked link is embedded with my affiliate ID.

The idea is to create a target-page specific affiliate id embedded link on the fly or on demand.

Thank you for the helpful replies.