If you consult wikipedia you will get the answer NO.

Metasequoia glyptostroboides, OR the Dawn Redwood tree grows to about 2 meters in diameter at the soil level .

Dawn Redwood ( Metasequoia glyptostroboides) is an ancient tree that knew the dinosaurs, but is well-suited to modern landscape plantings.

Likes full sun, is easily transplanted. Deciduous. Prefers moist, deep, well-drained soils.

Fast growing. Grows to 70′ to 100′ in height , 25′ spread. (zones 5-8)

So 5 feet distance between them is too close for comfort .

click on the links below =
http://en.wikipedia.org/wiki/Dawn_Redwood

Thank you !