It is possible to have a hyperlink in an SVG image.

One use for this in InDesign is to create a clickable logo inside the Viewer Display frame.

In Illustrator, 

  1. Open your graphic (or place it into a new document).
  2. Make a rectangle with a solid fill.
  3. Set the Transparency to 0%.
  4. Apply the URL to the rectangle using the Attributes panel.

Transparency setting applied

Attributes panel with URL applied

You may to to choose 

adding the target attribute

Save/export the file to SVG using File > Save a Copy or File > Save As (do not use File > Export as it will not include the link).

You can see the process in the video below.