Is the LEGO Yorkshire Terrier (YTERRIER-1) still rare?

Yes, as a 2018 Promotional set, the YTERRIER-1 is considered a rare collectible item.

Does this set contain any building pieces?

According to the listing, the set YTERRIER-1 contains 0 pieces.

The LEGO Yorkshire Terrier (YTERRIER-1) belongs to the Promotional theme.

Name: LEGO Yorkshire Terrier (YTERRIER-1)
Brand: LEGO

Promotional

Promotional · 2018

Theme · PromotionalPieces · 0Set Number · YTERRIER-1Year · 2018

Used

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New / Sealed

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Is the LEGO Yorkshire Terrier (YTERRIER-1) still rare?: Yes, as a 2018 Promotional set, the YTERRIER-1 is considered a rare collectible item.
Does this set contain any building pieces?: According to the listing, the set YTERRIER-1 contains 0 pieces.
What is the theme of this LEGO set?: The LEGO Yorkshire Terrier (YTERRIER-1) belongs to the Promotional theme.