Most likely. In which metadata field did you enter them in Photoshop?
I added in the tool Notes in Photoshop a few words on a picture.
Unfortunately, LR does not read notes created by the Photoshop Notes Tool.
I did a little investigation, and it appears that these notes are saved in PSDs and TIFFs in a proprietary format, rather than industry standard metadata that could be read by other tools. The only other applications I found that can read the notes is Acrobat and Reader. They can read PDFs created by Photoshop and display the embedded notes, and they can export new notes back into Photoshop, again in proprietary format. I didn't find anyone who had reverse-engineered the format, but perhaps someone else here knows better.
Going forward, if you want tools other than Photoshop to be able to read your annotations, you're better off using industry-standard metadata fields, such as title, caption, or user comment.