Changing image caption paragraph alignment

Is it possible to change the alignment of the paragraph text separately from the Heading text of an image caption? 

It should be possible with custom css. Can you provide a URL to the site in question?

4 minutes ago, ThisJustin said:

It should be possible with custom css. Can you provide a URL to the site in question?

I literally just started making the site 10 minutes ago, so the site isn't public (or even remotely close to complete) yet. Is it possible to provide a non-public link? 

You can make a trial site password protected and share the url and password here.