Yes, during adiabatic compression the temperature of a gas increase while no heat is given to it.
In adiabatic compression,
dQ = 0
∴ From first law of thermodynamics
dU = dQ – dW
dU = −dW
In compression work is done on the gas i.e., work done is negative. Therefore,
dU = +ve.
Hence, internal energy of the gas increases due to which its temperature increases.