Yes, the Fit comes with a manual trans. My son's 2011 fit has a 5MT. Lifetime fuel economy is 36.5 MPG (30K miles). It was closer to 38 MPG on the OE tires (horrible, unsafe things).
It does best on his commute to work and school. That is on local roads and county highways with no speed limit higher than 50 MPH. If he stays on those roads, it will get over 40 MPG.
On his long trips, he takes the interstates and drives at the prevailing speed. Mileage plummets at high speed, down in the low 30s. It really needs one more gear taller than 5th for crusing, but it would be difficult to accelerate or go up a hill in a higher gear.
He chose a Fit over a Civic because he can load his entire drum kit in the wayback (rear seats up). With the rear seats down, it will hold an enormous amount of stuff - he had 4 mounted tires, 4 bare tires and 4 bare steel rims in there last week with a lot of room left over.