"Thereupon the presidents and princes, counseling together, devised a scheme whereby they hoped to accomplish the prophet's destruction. They determined to ask the king to sign a decree which they should prepare, forbidding any person in the realm to ask anything of God or man, except of Darius the king, for the space of thirty days. A violation of this decree should be punished by casting the offender into a den of lions. PK 540.1"
Both passages describe evil individuals conspiring and plotting against a righteous person. The EGW passage describes the princes plotting against Daniel, while the Psalm speaks of the wicked laying snares. The connection is valid, though not a direct quote or explicit allusion.