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Well, yes, though admittedly not without some help:

I highly recommend Robert Zubrin's "The Case for Mars" - you'll be surprised what else is possible on Mars with current technology:

Also, TA Heppenheimer's Colonies in Space has a dandy compilation chapter on research on agriculture in enclosed environments. ("Up on the farm")

Most of what's talked about in that chapter will also be possible on Mars.

You absolutely can. Martian soil is surprisingly very rich, even by Earth's standards.