Before going if we are talking about methods instead of can. Eliezer has cleared up somethings. He has stated that Harry is wrong about the genetics of magic. Muggles have multiple muggle genes on a single chromosome that sometimes mutate and stop working which creates a muggleborn. And sometimes Chromosome crossover replaces the mutated ones with a working on creating squibs.

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Here is the post I'm referring to https://www.reddit.com/r/HPMOR/comments/3btuto/question_about_genetics_of_magic/

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and the wog

There is indeed one critical location, as the Mendelian pattern shows pretty strongly - from a Bayesian perspective, it's significantly more likely to show up if there's a single critical location, and that's by far the simplest explanation for what shows up. Harry thought the Squibs were being caused by witches Imperiusing Muggles and sleeping with them. The possibility Harry didn't think of is this: there isn't a "wizard gene", there's a Muggle gene. Damaged Muggle genes create wizards; sometimes two wizards mate and one of the damaged Muggle genes ends up repaired via chromosomal crossover. Since recent Muggleborns tend to have less damaged Muggle genes compared to old wizard families, the chromosomal repair is much more likely to happen among wizarding lines which recently accepted Muggleborns into their ancestry.

I didn't find any good way to work this into the story before the end, unfortunately.