The bookies think no. Given we have 7 points from 7 games, I'm going to agree with them. It's been a long, long time since we've gone a whole season playing complete shite, even if the board sticks with Koeman and we keep playing shite for a while, it's highly likely we will have a good spell at some point, which will keep us clear of the bottom three.
However, despite the already polarised opinions about the OP and his thread starting, it's probably no longer fair to dismiss some of his stronger negative assertions out of hand, yet alone with abuse. Personally, I find it depressing to admit that his opinions have been more accurate than I expected, but that's not his fault. While believing we are going to be in a relegation battle is still fairly extreme for me, his concerns about Koeman are gaining credence.