Hi folks.

I can work or study a language. With my studies [none of the languages worth learning in my line of work are available at my university] I only have time for one of these. But I need both. So I'm thinking it'll be first one, then the other.

Are there immersion programs that allow you to start from square one, with no prior knowledge of the language? If so, my life is much simpler.

Yes, there are many such programs, depending on what you want to learn, assuming you want to spend a period of weeks or months in a country where the language is spoken. Google "Language School" and the country where they speak it, and you'll find something. Study-abroad language programs often combine a morning of intensive lessons with an afternoon of structured immersion activities. You'll learn a category of vocab in the morning (shopping words, for example,) and get a homework assignment of going to a market and asking how much something costs, etc. How much English is actually used in the classroom varies a lot from teacher to teacher and school to school, but many conversation classes are designed to use only the target language.