Nope, this is a scammer. There has been an infestation of them here unfortunately, targeting new Sellers as well as seasoned ones. Oftentimes, they appear shortly after someone lists their first item/s. These thieves are using "Verification" as one of their scams, posing as Etsy Staff/Support, etc. When you receive a LEGIT Message from Etsy Support/Staff, etc., it will appear in the "From Etsy" Folder (in Messages). If it isn't there, Mark the Message as Spam (so you don't get dinged for S Seller). *The "From Etsy" Folder is not on the App, however (you must use a browser instead).
Also for future, many scammers are posing as "Buyers", stating they need your email for an Order. They don't, Etsy already has it. When you receive a LEGIT Order, it will appear in "Orders & Shipping" (Left Column of Shop Dashboard); if it isn't there, you have no Order. Mark the scammer's Message as Spam (so you don't get dinged for S Seller). And never click on links or engage with them.
Honestly, I don't get why Etsy can't nail these FAKE accounts who are impersonating Etsy Staff/Support, etc. It's happening way too often. Here is the Announcement about the "From Etsy" Folder (currently this is in past Announcements).
https://community.etsy.com/t5/Announcements/New-From-Etsy-section-in-Messages/m-p/143722497#M1899
Here is the other Announcement "Protect Your Account from Scammers" (it was in past Announcements, but recently has been re-pinned).
https://community.etsy.com/t5/Announcements/Protect-Your-Account-From-Scammers/m-p/143158945#M1882
Hope this is helpful to you.
