"any man in violating the eternal principles of right. One sin cherished is sufficient to work degradation of character and to mislead others. AA 312.1"
"Then when lust hath conceived, it bringeth forth sin: and sin, when it is finished, bringeth forth death."
Both passages address the consequences of sin. James 1:15 describes the process by which lust leads to sin and ultimately death. The EGW passage speaks of how even one cherished sin can degrade character and mislead others. While not a direct quote or explicit allusion, there is a thematic overlap in the understanding of sin's destructive power.
"“If thy hand cause thee to stumble,” the Saviour said, “Cut it off: it is good for thee to enter into life maimed, rather than having thy two hands to go into hell, into the unquenchable fire. And if thy foot cause thee to stumble, cut it off: it is good for thee to enter into life halt, rather than having thy two feet to be cast into hell.” Mark 9:43-45, R.V. If to save the body from death, the foot or the hand should be cut off, or even the eye plucked out, how much more earnest should the Christian be to put away sin, which brings death to the soul! AA 312.2"
"And if thy hand offend thee, cut it off: it is better for thee to enter into life maimed, than having two hands to go into hell, into the fire that never shall be quenched: Where their worm dieth not, and the fire is not quenched. And if thy foot offend thee, cut it off: it is better for thee to enter halt into life, than having two feet to be cast into hell, into the fire that never shall be quenched:"
Ellen White directly references Mark 9:43-45 in this passage.
"And if thy right hand offend thee, cut it off, and cast it from thee: for it is profitable for thee that one of thy members should perish, and not that thy whole body should be cast into hell."
The EGW passage directly quotes Mark 9:43-45 (which is a parallel passage to Matthew 5:30) and then applies the principle of radical self-discipline to the Christian life. The connection is clear and intentional.