it's possible, but won't be easy without programming experience
this guy did it in 3 months, but he had programming experience
Zero to SAS Certified Base Programmer in 3 months (Part 1) - The SAS Training Post
http://blogs.sas.com/content/sastraining/2010/07/01/zero-to-sas-certified-base-programmer-in-3-months-part-1/
Zero to SAS Certified Base Programmer in 3 months (Part II) - The SAS Training Post
http://blogs.sas.com/content/sastraining/2010/07/22/zero-to-sas-certified-base-programmer-in-3-months-part-ii/
here's what's tested
http://support.sas.com/certify/creds/bp.html#t2
here's some sample questions
http://support.sas.com/certify/creds/samples.html
there's some youtube videos
https://www.youtube.com/channel/UC6JU4JQQw-mqS8NqfzeYWgQ
here's a helpful websites
http://www.ats.ucla.edu/stat/sas/
http://support.sas.com/resources/papers/proceedings10/189-2010.pdf