You can, actually.
But here's the thing: I've never seen an honest debate on E2E within an org. When your manager comes to you and says your team is going to start doing E2E, ask him/her if they are prepared for their schedule to slip by 30% or more.
They will either slither back into their office, or (most likely) they will insist that developers write E2E in addition to their current workload of writing unit tests, writing the actual code, and all of the other overhead (pull requests, approvals, JIRA ticket maintenance, interviews, etc.)
Developers are expected to pay the costs of E2E with no impact to the business.
What managers do not understand and has been my experience for many years now is that E2E is at least 30% of the cost of development. And that's probably low. I recall certain features where E2E took probably 200% or more time to get working. Because, unlike most unit tests, writing E2E tests is nontrivial. You may have to invent entirely new techniques and apparatus just for a single test.
If the costs of writing and maintaining E2E tests outweigh the benefits, then obviously it's not worth it. Not every bug is critical. In fact, go back 15 years and no one had any tests whatsoever. The world didn't end.