Answer:
Since,
Q = U+W (Q-W = U)
With adiabatic, Q =0
If some work is done then, U will be non zero. And since U is internal energy change it should result in a temperature change.
With isothermal process we are also saying U=0 but that would imply that W=0. However we did work since compression requires work to be done.
So it is not possible.