Left adjoint functor to zero section embedding

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Let $X$ be a smooth projective variety over a field and let $V$ be a vector bundle on $X$. Set $|V|$ to be total space of the vector bundle, in other words $|V|=\underline{Spec}\operatorname{Sym}(V^\vee)$. Let $s:X \to |V|$ be the zero section embedding. We get a triangulated functor
$$ s^*:D^b(|V|)\to D^b(X). $$

Does the left adjoint functor $s_!:D^b(X) \to D^b(|V|)$ exist in this situation?