You can generally do a lot of the same things with CSS grid layouts, but it's 100x more complicated, and the layout information is generally in the CSS file rather than the document itself making parsing the layout a Hard problem demanding the implementation of a partial CSS engine (and a sometimes JS engine too).
[1] A totally viable workflow was to draw your website in something like photoshop, cut boxes where the content would go, and then export it to an HTML table.