Sure, why not?
Oh, right.. you are talking about pull downs on the input pins of the uC? The ULN likely will be connected to the uC outputs. If the OP was asking about floating uC inputs, if connected to a ULN input, they will have sufficient pulldown effected through the ULN resistors. I assumed the OP was asking about whether unused inputs of the ULN require pulldowns - which they don't (also, the base resistor of T1 has no effect with unconnected input).