Maby not. Archer has shown that he can be a competent spy/soldier/fighter when push comes to shove, so he might be able to survive.
If Brock has any advantage, it's raw physical power.>>88803619
He might be able to tolerate Archer. I get the feeling that after seeing Brock in action, Archer would be in almost total awe of him, leading to Archer becoming an older, somewhat more extreme version of Hank.