"the pollution that is in the world through lust, you must adorn the Christian profession in all things. 4T 37.3"
"Whereby are given unto us exceeding great and precious promises: that by these ye might be partakers of the divine nature, having escaped the corruption that is in the world through lust."
EGW directly alludes to the concept of escaping 'the corruption that is in the world through lust' found in 2 Peter 1:4. The phrasing is very similar, indicating a clear connection.
"Not purloining, but shewing all good fidelity; that they may adorn the doctrine of God our Saviour in all things."
Both passages discuss adorning Christian life/doctrine. Titus 2:10 speaks of adorning the doctrine of God through good fidelity, while EGW speaks of adorning the Christian profession by avoiding pollution through lust. The principle of adorning Christian life is present in both.
"Love not the world, neither the things that are in the world. If any man love the world, the love of the Father is not in him. For all that is in the world, the lust of the flesh, and the lust of the eyes, and the pride of life, is not of the Father, but is of the world. And the world passeth away, and the lust thereof: but he that doeth the will of God abideth for ever."
Both passages address the dangers of worldly lusts. 1 John 2:15-17 warns against loving the world and its lusts, while EGW speaks of avoiding pollution through lust. The theme of avoiding worldly lusts is present in both.