My best friend gave up on getting a teaching job and went into industry work, while my sister in law has gotten multiple certifications to be able to teach different subjects and is still only able to get part-time substitute teaching work.
1 https://www.newyorker.com/magazine/2009/08/31/the-rubber-roo...
Emphatically yes, particularly at nice well funded schools. I have numerous long-term friends who have become school teachers, many of then had to move quite a distance just to find schools with openings. Most states have teacher certification reciprocity with Pennsylvania, which gave them a leg up in this regard. Even so, searching for open positions was clearly stressful for them. But for them it was worth it; the work is rewarding and socially important. They like working with kids, and they like getting several months of vacation every year. There is no other job quite like it.
I emigrated up to Canada a while back where teachers are paid very well[1] and the bad teachers get weeded out really quickly since there are plenty of enthusiastic replacements. I am sure that at well funded schools in the US teachers do great - but most US schools are terribly funded[2] so I'm not surprised folks are willing to move across the country if a well reimbursed position opens up.
1. https://www.blogto.com/city/2020/09/average-ontario-teacher-... [TL;DR 108k including benefits] - also they've got great pension options.
2. Taking New York as a random counter example since cost-of-living is probably pretty close to Toronto https://www.glassdoor.ca/Salaries/new-york-state-teacher-sal... [TL;DR 42k probably excluding benefits - which were about 12k for toronto teachers]
https://www.uft.org/your-rights/salary/doe-and-city-salary-s...
Are there a bunch of would-be teachers clamoring for those jobs?
I think the lack of desirability is what keeps terrible teachers employed. There also aren't great ways to measure how good someone is at teaching.