Yes, they overlap. Sure, you'll need some repetition and maybe, indeed, some DSL or tooling to share some of the overlapping ones across the boundaries.
But no! They are not the same. A "this email is already in use" is serverside, (it depends on the case). A "this doesn't look like an email-address, did you mean gmail.com instead of gamil.com" is client side and a "unique-key-constraint: contactemail already used" is even more down.
My point is, that the more you sit down (with customers! domain experts!) and talk or think all this through, the less it's a technical problem that has to be solved with DSLs, SPAs, MPAs or "same language for backend and UI". And the more you (I) realize it really often hardly matters.
You quite probably don't even need that email-uniqueness validation at all. In any layer. If you just care to speak to the business.