I can't find an official Send-to-Pocket feature for Pocketbook, and I couldn't find a third-party service either.
The Send-to-Pocketbook feature creates an email address (in the format
myname@pbsync.com) and when you send files to this address they will be downloaded to your Pocketbook device. The file you send needs to be in one of these file formats:
EPUB DRM, EPUB, PDF DRM, PDF, FB2, FB2.ZIP, TXT, DJVU, HTM, HTML, DOC, DOCX, RTF, CHM, TCR, PRC (MOBI) and four graphical formats — JPEG, BMP, PNG, TIFF
So you could use a browser extension to convert the articles saved in Pocket to one of those formats. A bit of a hassle, I guess.
I see that Pocket supports RSS feeds, and so does Pocketbook. You can add a Pocket RSS feed to the Pocketbook and the links to the webpages you save will be delivered to the device, where you will be able to open them in the in-built browser.
You can also sync files to the device with the service Pocketbook Sync, and you can also connect your Dropbox account.