It’s possible, though it’s really not from the north face from Martha Lake.
From The High Sierra: Peaks, Passes, Trails by R.J. Secor:
Southwest Ridge. Class 2-3. First ascent September 23, 1879, by Lilbourne A. Winchell and Louis W. Davis. Go east from Martha Lake to Lake 11,960+ (11,920ft+), a small lake surrounded by a cirque. Turn northeast and climb to Goddard Col, leading to the next larger lake on a bench above the cirque, Lake 12,240+ (12,120 ft+). Go left from the southern shore of this larger lake and ascend a chute to the Southwest Ridge. The north summit is the high point, and there is a bit of class 3 between the two summits.