Can I use a voltage divider for shifing logic levels?
Check the datasheets of the IC for its input impedance. That will tell you the effective resistance of the inputs (which should be very high). You could also look at the maximum input current it consumes (which should be very low).

I suspect in this case, you could get away with using a voltage divider for uni-directional communications.

Edit:

Looking at the datasheet for your IC, it says that the logic-high input
current is (at most) 1uA.



From quick ballpark, that means you want at least 100uA flowing through your voltage divider. That way, the current that might get consumed by the input pins has a negligible effect on the output voltage of the voltage divider.

Picking R1 and R2 to be 10kOhm and 20kOhm respectively satisfies all these requirements.

The output voltage from the voltage divider is 3.33V and is within the boundaries of the input voltage range of the chip.