I would doubt it tbh. It was an unfortunate train of events and nobody's fault in particular. How often do you hear of two players failing a medical? Another player from Italy didn't want to come to England because his wife put her foot down.
Sami resigned, but Hughton had been interviewed in the summer, so Bloom already knew he was interested. Burke was sacked, which is fairly brutal on Christmas Eve, when you think about it.
Chris Hughton asked that Burke was replaced before he took the job. Both Poyet & Garcia had problems getting the players they wanted when Burke came in.
Hughton then worked well with the recruitment team to get the players he needed, but even then he still knitted them into a team.