It means :
1. To plan with cleverness or ingenuity; devise: contrive ways to amuse the children.
2. To invent or fabricate, especially by improvisation: contrived a swing from hanging vines.
3. To plan with evil intent; scheme: contrived a plot to seize power.
4. To bring about, as by scheming; manage: somehow contrived to get past the guards unnoticed.
but in this sentence I think it means : manage
source : thefreedictionary & myself