I have an image on my dashboard that when I click I would like to take me to another file in my vault. I know you can link images to sites (at least I’m pretty sure you can) but I can’t find anything on here, the subreddit or the help docs about specifically linking to another file.
Markdown image embed, typically in the form 
Wiki style image links, typically in the form ![[cat.png]]
If you want an image as a link, you need to place an image embed inside a link. However, there are only some combinations that work and some that don’t.
Placing a wiki embed in a Markdown link does work:
Placing a Markdown embed in a Markdown link should work, but on my side the link doesn’t work as expected. (Might be related to this bug in Obsidian.)
[](birthday.md)
Placing Wiki or Markdown embeds in Wiki style links seems not to work either. (I haven’t checked if there’s a feature request.)