I started out as LVN and eventually became CRNA. This year I will be going back for my PhD in nursing. There shouldn't be any reason why you can't go on and become a CRNA. You just need to apply to an LVN to BSN program and continue from there.
I started out as an NA (nursing assistant), and will be starting a DNP degree CRNA program next month. I know that doesn't exactly answer your question, but if you were wondering if you can start out a bit "lower" on the totem pole (from a degree standpoint ONLY) and still end up in CRNA school, then yes, you can .