Possibly. Here are a couple blog posts I wrote about my prep in 3 months:
https://blogs.sas.com/content/sastraining/2010/07/01/zero-to-sas-certified-base-programmer-in-3-months-part-1/
https://blogs.sas.com/content/sastraining/2010/07/22/zero-to-sas-certified-base-programmer-in-3-months-part-ii/
And a paper from a person who did Base and Advanced in 6 months:
https://support.sas.com/resources/papers/proceedings10/189-2010.pdf
If you've got a good programming background and are using SAS a lot and stick to the syllabus posted here:
https://www.sas.com/en_us/certification/exam-content-guides/base-programming.html
I'd say you've got a good shot. The practice exam is a big help too.
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