It depends on the circumstances. I wouldn't recommend it unless you really hate your job and/or have like 6+ months worth of savings to burn.
Honestly, unless you have a good network, it's difficult to find a job as an inexperienced web developer. I know from experience because I did just that, quit my job to study full time. It took me almost 2 months of looking for a job (after 4 months of studying) to find a job despite having 1.5 years experience as a production support engineer / developer and having a CS degree.
Do I regret doing it? Nope! It was probably the best decision I've made in my life! I hated support and love development.
Would I do it again? Probably. I should have spent more time studying while employed, but I guess I just hated my job so much that it made me depressed and miserable.
So, yea. If you have a decent job, I'd recommend sticking it out and finding time during nights and weekends to study. Trust me, it becomes harder and harder to focus on studying money starts becoming a problem.
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