[soasdfg]

Unless you have an EE degree from an Ivy league school, not really.

It definitely won't hurt you and anyone who is an engineer reading your resume will be more likely to give you a shot after seeing that you completed a rigorous degree, but engineers aren't the ones reading your resume when you're starting out unfortunately.

I say this as someone who has a EE degree (not from an Ivy league, but a well known engineering school) and found it pretty challenging to switch into software engineering here in SV, although with persistence it did finally happen.

I agree that your time is much better spent learning the skills that are in demand for the kind of software work you want to do eventually, web dev is going to give you the biggest pool of companies to send your resume to and is one of the easier areas to get yourself up to speed on without having to go back to school. If you have your heart set on a very specific field that could benefit from more school, then I would agree that finding a program to study this in more detail could be really interesting for you and help you in your search for jobs.