No . The 2nd law defines which directiion a process is likely to proceed. If you postualte a process for which the 1st law holds, but the energy is being tranferred in the wrong direection ( based on 2nd law ) then you have your hypothetical scenario.
For example, the radiator on your car is hotter than ambient air temp, and the first law says the energy lost form one body ( radiator) equals the heat gained by the other body ( ambient). The 2nd law says the heat goes from the hot body (radiator) to the cold body (ambient). But you can pretend the opposite direction of heat flow, from ambient to radiator, meet the 1st law, and violate the 2nd law.