I've put pipe underneath sidewalks and retaining walls by hammering through a piece of larger pipe, pulling it out (not exactly easy), and then inserting the pipe after taping off the end to keep dirt out.
That's still a lot of digging.
I'd also be concerned about damaging the basement wall by chiseling a hole through it.
I'd use a core drill to bore a neat hole through the wall. They can be rented for about $150 to $250 a day, including the bit, depending on the size.

Randy, Do you know if a core drill will bore through stone? Thanks.

Randy, Do you know if a core drill will bore through stone? That would be my preference.

This post was edited by kevin1900 on Tue, May 21, 13 at 14:09

With a diamond bit, I don't see why not. The rental center folks should be good for advice.