I remember there was a "Linear Hangul" movement around the middle of the 20th century or so to do away with the blocks entirely, but it didn't catch on.
I'm kind of glad it didn't because I think the blocks forcing the retainment of more morphological information is actually a really cool trait of the writing system. Basically, you sometimes have multiple options for how to distribute letters over blocks when writing down a word, and the ortography then fairly consistently prefers the variants that keep the same morpheme spelled consistently across different words. It promotes morpheme reuse and makes the writing more LEGO-like.
Purely phonemic spelling is sort of overrated. Hangul lets you write phonetically if you want to (though it's more rigid than Latin because of the block grouping forcing certain consonant/vowel patterns) but for practical use of an established language there's many other concerns.