No.I found relays drawing 28mA, but the 4043 can't handle that directly?
As shown from the data sheet below, the output is only 1 mA typical for a 5V supply.
You can use the ULN2803 or a 2N7000 MOSFET as a driver for the relay.
The MOSFET will also require a diode for inductive transient suppression from the relay coil.
The ULN2803 has that diode built-in.
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