Hello. I am a US citizen and my sister is a dual US/Spanish citizen married to a Spanish citizen. My parents are in the process of of obtaining their Spanish tarjeta de residencia.

Can I apply for a tarjeta de residencia once I arrive in Spain without obtaining a residence visa through the Spanish consulate in the USA? I already have bank accounts in Spain and currently receive a pension from the US. The process of obtaining a residence visa can take up to 4 months and I already have travel plans for May. Please help!