Yes—Lightroom can do this if you select sources from the Files section of the Import dialog rather than the Devices section. With Include Subfolders enabled, you can Ctrl-click (Windows) or Cmd-click (Mac) to choose multiple source folders/cards and import them in one session.

A practical alternative workflow is to first copy each card to your hard drive—especially if you’re using a multi-card reader—then import the parent folder into Lightroom once all copies are finished. Many photographers prefer this because it can be faster and gives you more control over folder organization before import.