Can I import images with colour or star ratings?

It isn't possible to discriminate different sub-batches within a particular import set. The same import settings apply to the whole lot. And I don't know of any way to apply rating stars differentially using LR import - though that might be done onto the photos before import by some other utility. But if you are applying ratings there, you might as well apply a meaningful keyword instead to discriminate the different stages of the event and then you have the means of distinguishing the photos sensibly after import, in a more self-documenting way.

However, there are many things you can do nonetheless even coming straight from untouched camera card into the computer and into LR using the Import (Copy) workflow.

First, if you've set the camera to begin a new folder on the memory card at certain moments, then this will be helpful during import so as to differentiate the photos. Either for assisting you to import just one sub-batch at a time, or else getting reflected in the destination folder where the photos are then going to be filed. [Example. You have a destination folder pointed to - say, library / photos / 2018. You check the option to "make subfolder" within this destination and type next to that, the date and then the name of the overall event being photographed. You have "Organize" set to "original folders" and your camera card has "101", "102" etc folders - or whatever - for the different sections of the event. So the results are library / photos / 2018 / [2018-01-05 name of event] / 101, 102 etc. You rename these sub folders to be more meaningful about the event. Now you can very easily process the contents of each folder as a discrete batch, using whatever different treatment that segment of the overall event requires.]

Deliberately importing photos in separate sub-batches rather than all at the same time, regardless of folders, may prove still more efficient overall.

I say this because doing it in sub-batches, you can ALSO apply different specific keywording within the import window, perhaps different metadata preset, and also select a different develop preset to be applied at import, each time to suit. One sub-batch may get a preset which makes the photos arrive in LR as already B&W, and another sub-batch may get a different preset which leaves them in colour. All with keywords which will retain and explain a meaningful distinction of the different sub-batches through all contexts hereafter, including when images sit side by side inside LR, and extending even to future exports made from these images.

Folders on the camera card may, if used, help you to define these sub-batches otherwise it's a matter of highlighting just a related group of images in the Import screen. Already imported photos will automatically get omitted regardless if you have "don't import suspected duplicates" checked.

So then you can bring in the next batch with its own (as appropriate, different) keywords, metadata, develop preset. Different destination optionally. And repeat until done. There is nothing more to do at the batch level - you can jump straight to the individual image level. LR can have already begun generating previews for the earlier import batches, while you carry out the later import batches.

Photos arrive in LR "ahead of the game" organisationally.

Apply during Import . . .