Is their a laver action 308-06 rifle?

Yes. The Browning BLR series lever actions are available in .30-06, as well as the .30-06-derived .270 Winchester. They are fed from a detachable box magazine, rather than the 'traditional' tubular magazine, given the shape of the 'spitzer' projectile used in dedicated rifle cartridges such as the .30-06 versus the rounded shape of 'traditional' lever gun rounds like the .30-30, .45 Long Colt, etc.