You probably could, but would have to be very careful about not trying to strand too much. There are large gaps between the white stitches at the center of the triangles, so either you'll have tons of strands or will strand the white and keep it loose.
"Trust the pattern!"
Time flies like an arrow, but fruit flies like a banana.
Hop aboard while we follow the cloud-covered van of knitting harmony, man!! Woooo!! --Hedgehog