The dictionary doesn't list it as a verb. However I get some hits on Google, even on Google Books:
She heaved and sobbed and snotted all over his shirt.
Is it okay to use it as a verb? Or the grammar police will give me the death penalty?
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It seems common among young children (even occasionally as a transitive verb). The rare uses I've heard from adults have been in the context of young children. I don't know what the upper age limit for such use is.
It's a logical formation with no quick alternative learnt later (unlike some things little ones come out with) so it's quite likely to stick around. It wouldn't surprise me if your quoted use and many other Google hits were young adult books.
Kids can be very creative in their use of language, in ways that aren't a good idea to copy if you're an adult.