[make] the entanglement more [complicated]

The protagonist, Philip moved in with his uncle Mr. Carey, the Vicar of Blackstable after his mother's death.
He goes to the medical school St. Luke's in London.
He fell for the waitress Mildred. He went out with her, but she didn't like him, and she got married to g German.
After she was dumped, she came to Philip's apartment.

............................................
By degrees Philip learned how the separation had come about. It appeared that the fellow's wife had discovered the adventure he was engaged in during his periodical visits to London, and had gone to the head of the firm that employed him. She threatened to divorce him, and they announced that they would dismiss him if she did. He was passionately devoted to his children and could not bear the thought of being separated from them. When he had to choose between his wife and his mistress he chose his wife. He had been always anxious that there should be no child to make the entanglement more complicated
[Of Human Bondage by Somerset Maugham]
I'd like to know if "make" can take a past participle as a objective complement like "get/ have."
Thank you in advance for your help.