Let $G$ be a finite group and let $X$ be a $G$-CW-complex. Denote by $\pi_{\ast}^G(X)$ the $G$-equivariant stable homotopy groups of $G$ and by $\mathrm{H}_{\ast}^G(X,A(-))$ the Bredon homology of $G$ with coefficients in the Burnside ring.
My question is:
1) If $\pi_{\ast}^G(X)$ is zero for all $\ast$, can one conclude that $\mathrm{H}_{\ast}^G(X,A(-))$ is zero for all $\ast$?
2) More generally, is there is a Hurewicz map $$\pi_{\ast}^G(X) \rightarrow \mathrm{H}_{\ast}^G(X,A(-)) $$ and a criteria that says when this map is an isomorphism?
Thanks.