Certain principle bundle structure on $\mathbb{R}^{n}\setminus \{0\}$

Question

Is there a right action of $\mathbb{H}^{2}$ on some $\mathbb{R}^{n}\setminus \{0\}$ such that this action gives us a principle fibre bundle.

Here $\mathbb{H}^{2}$ is the Poincare upper plane with its standard non abelian Lie group structure