Just the OS? Yes, but you would quickly run out of space wwith page file, hibernation file, and other windows updates. Would highly recommend at least 60GB (only $50, if you're in the States: http://www.amazon.com/dp/B00A35X6GM/?tag=pcpapi-20) or 100/120GB (only $52 for OCZ 100GB: http://www.microcenter.com/product/413844/Vertex_2_OCZSSD2-2VTX100G_100GB_SATA_30Gb-s_25_Internal_Solid_State_Drive_(SSD)_with_SandForce_Controller).
Cheers