Can you work half time? I worked half time during the university, and it is possible. The drawback is that you will need a few more years to get the degree.
Unfortunately, no. My company doesn't have part-time positions for software engineers right now. I would have to quit my current job anyway.
And I don't want to quit, since it's a big opportunity and I know working there not only enriches my résumé, but also because I'm learning a lot every day.