Does Lightroom import catchwords from Photo

The simplest method is to export copies from the Photos app to the desktop or preferably named folders. Then add them to Lightroom.

Select a batch of thumbnails and use the Photos menu:

File >> Export

There are two choices 

• unmodified originals
• export number of photos

Use the latter method unless you specifically wish to discard your editing work in the Photos app.

In the export dialog check the boxes to include keywords and titles (descriptions) and optionally location data. These will import into Lightroom as keywords and captions. See image below.

Click the Add button in Lightroom and navigate to your new folder to select the items to import. You can also create a new album for each import batch, if required.

If you are referring to what is known as keywords in Lightroom, then the answer is No. When migrating from Lightroom Classic to Lightroom with cloud, even in that process keywords don't migrate, unfortunately.