The consensus is that it probably will, but with a lot of caveats reflecting our ignorance. The biggest one is that, if the dark energy continues to behave how it does now, then we’ll get eternal expansion and heat death. But we know almost nothing about the dark energy, and nothing at all about what manner of stuff it is or by what mechanisms it works, and so we can’t be confident that it’ll continue to behave how it does now. It might weaken in the future enough to allow for a re-collapse. It might even reverse sign, and force a re-collapse. Or it might actually increase in strength, resulting in a Universe that still expands forever but which never has a chance to go through heat death, because it instead expands so fast that it literally tears apart atoms: This is what’s called a “big rip”.
It’s also possible that what we think of as the vacuum state of the Universe is only a “false vacuum”, that could collapse to a lower energy state (you allude to this, but it’s not specific to the Higgs field). We believe that such false vacuum collapses have happened before. The fact that we’ve gone 13 billion years without such a collapse suggests that either our vacuum is the true one after all, or that we’re in a false vacuum state that’s very stable. But if the latter, if it (somehow) collapses at just one point, that would provide the impetus to collapse the rest, expanding outward at the speed of light. This is what’s called a “thunderbolt” end, because we wouldn’t see it coming, and one possible trigger might be the complete decay of a black hole.
But while these ideas do exist and are taken seriously by cosmologists, nobody really thinks that any of them is more likely than the consensus view of boring perpetual expansion.