You would need to have significantly stronger lasers to try and "burn through" on something moving that fast.
For completeness I should mention that there was quite some work on trying to get laser defenses against ballistic missiles on their "boost" phase (when they were launching, so slow enough to track a point in the missile), for example George Bush's "Star Wars" defense system. These would have been space based (some of the testing involved mounting on 747s, but I don't think that was ever an end-goal), but never made it near production.