That's a definite possibility. I'm not sure you want to eliminate the population, although that might seem tempting right now. They usually only damage seedlings, so as your plants grow, there will be less damage ... or at least it will be less obvious.

The reason you don't want to totally wipe them out is that they also feed on garden pests, like aphids. They can be an asset to your garden if you can just keep them away from your seedlings.
One way to do that is to remove their hiding places. Like snails and slugs, they like dark, damp places. One of their favorite spots is in and under thick layers of mulch, so unless it's already become very hot and dry where you are, you might want to temporarily pull back any mulches around and near the affected plants. Earwigs also like to hide under flowerpots, especially those sitting in saucers or trays. Pick up the pots and you may find the earwigs.
UCDavis has published [url=https://www.ipm.ucdavis.edu/PMG/PESTNOTES/pn74102.html]this article[/url] about earwigs. In it, they give instructions for simple-to-make traps you can set out. (I suggest that the traps they describe might also attract animals, both wild and domestic, so keep that in mind if you decide to use them.)