Police say Amal Umar gave an officer 250,000 naira (£137; $175) to have her impounded car released.
The president is under pressure from Ghanaians who want him to sign the bill, and from those who condemn it.
The travel ban is an attempt to cut government spending amid an ongoing cost-of-living crisis.
Chocolate prices rise in the run up to Easter after high temperatures curb cocoa crops in West Africa.
How one man is secretly helping families pay kidnappers to release their relatives.
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