I’m saving for what?

Hello! I recently broke up with my partner and moved back into my parents house. We had been saving to buy a house together and I have about 20k saved. My credit score is just about 700 now. I still owe about 10k in student loans, paid about 50k off the past 6 years. I live in a very expensive state and any house near where I live is at least 300-400k. Places that are two hours away are significantly cheaper around 100-200k. I don’t have a car or or have anything in my name. I’m hopeful that if I keep saving I can buy a house/condo in a year or two. Is this realistic? I make 34,000 a year as a teacher. Do I need a new career? Thanks!