Is every $(n-1)$-connected $n$-manifold embeddable in $\mathbb{R}^{n+1}$ homeomorphic to $\mathbb{S}^{n}$?

Question

Let $M^n$ be a compact, topological $n$-manifold which is a subspace of $\mathbb{R}^{n+1}$. If $M^n$ is $(n-1)$-connected (i.e. $\pi_i$ vanishes for $i<n$), does it have to be homeomorphic to the $n$-sphere $\mathbb{S}^{n}$?