Rational points of an open subset of a group scheme

Question

Let $K$ be an algebraically closed valued field with valuation ring $\mathcal{O}$ (assume the valuation is non-trivial). Let $G$ be a group scheme over $\mathcal{O}$, $g\in G(\mathcal{O})$ and $V\subseteq G$ an open subscheme. Does there exists an open subscheme $U\subseteq G$ such that $$g\cdot V(\mathcal{O})=U(\mathcal{O})?$$