Aside from taste, habit and personal preference, are there any advantages to using 2-space vs. 4-space indents while coding?
For instance, in this Google style guide, it is recommended to use 2-space indents for CSS.
Are there any technical advantages to using one over the other, for instance when transferring data between different systems?
Are there widely accepted conventions? (that possibly differ from language to language)
There are no clear "technical" advantages one way or the other. Indeed the only "technical" issue I can think of is the impact on the number of bytes in a source file.
If you represent the indents using space characters (ASCII SP), then 2 spaces is 2 characters fewer than 4 spaces.
If you allow TAB characters to be used, then (on Windows) a TAB indents by up to 4 spaces, so TAB characters result in fewer characters. But the flip side is that a TAB conventionally indents by up to 8 spaces on many other operating systems, so if you want your source code to look nice on all platforms you shouldn't use TAB for indentation.
And besides, it is common practice to "minify" CSS, Javascript and web-associated languages to make websites "faster". Among other things, that will strip out the indentation, rendering this minor technical difference to be moot.
(For the human readable version of a CSS, etc used by developers, the saving in transmission time / storage space is too small to worry about. Today's systems are optimized for the mass market, where storing and moving around gigabyte-sized files (movies) is common-place. Source code pales into insignificance.)
As to "practical" advantages, I guess it may be easier to view and edit files if you don't waste too much screen real-estate with deep indentation. From that perspective 2 character indentation is better than 4 or 8 character indentation. However this borders on being a "personal taste" issue ... unless:
Are there widely accepted conventions?
In general no.
In some languages, maybe, but I can't think of any. Even in Java, the most common convention for indentation is 4 spaces, but others are acceptable.
In software projects ... yes. It is common for a project style guide to specify this. For example, the Linux Kernel Style Guide quoted in Carlo's answer. (And even if this is not formalized, it "looks wrong" if a code base uses a variety of indentation styles, so a project's developers are likely to gravitate to a single style.)