Sure he can, it's English rules, the next is worse than the last.
Who am I kidding though, it's just a vicious cycle
New Manager > Wins loads of friendlies > dominates qualifying group > flops in tournament > New Manager > Wins loads of friendlies > dominates qualifying group > Flops in tournament.
Also note the manager prestige gets slightly worse each time. From Sven and Capello to Hodgson to Allardyce to Southgate.
Next manager might just be your local bin man.