OEmbed additional options to customize?

So with OEmbed,

We input the url and then have 3 additional options:

“The following query parameters are defined as part of the spec:

url (required) – The URL to retrieve embedding information for
maxwidth (optional) – the maximum width of the embedded resource
maxheight (optional) – the maximum height of the embedded resource
format (optional) – the required response format (i.e. XML or JSON)”

So are there any additional options, or code that I can input? I would like to make it so that the image from imgur is *not clickable. Or assign a custom url to it, so that it clicks out to where I want it to.