Hmm no not at the moment I think, but perhaps if you can share some more info about this REST API's data format for variables, I can offer some support for creating a Style Dictionary parser that handles them.

We could even contribute it as a built-in parser:

• https://github.com/style-dictionary/style-dictionary/tree/main/lib/common -> create a parser folder and a figma variables parser file
• https://styledictionary.com/reference/hooks/parsers/ -> for more info on how to create/register a parser, and we would also add a built-in parsers section here