I've been working for three years and three months, and am currently working in my third company.
I started out coding PHP at company 1, continued coding in PHP for company 2 and transitioned there to working on a Python project. At Company 3 I am working on Java end to end.
Granted, all projects I have been working on are web development projects; however a senior programmer at my outfit with six years of exp started out as a embedded systems engineer.
I think the short answer to your question is : It's possible. Keep your chin up, and keep looking.
I started out coding PHP at company 1, continued coding in PHP for company 2 and transitioned there to working on a Python project. At Company 3 I am working on Java end to end.
Granted, all projects I have been working on are web development projects; however a senior programmer at my outfit with six years of exp started out as a embedded systems engineer.
I think the short answer to your question is : It's possible. Keep your chin up, and keep looking.