Let $K$ be a local field with residue field of char $p$, denote $G$ its Galois group. Is it possible that we have two Abelian varieties $A_1$ and $A_2$, defined over $K$, such that they are not isogeny (over $K$ or $\bar{K}$ ), but have isomorphic p-adic Galois representation of $G$?