May I use CD4066 instead max 232, to convert rs232 UART(USART) level
Firstly a MAX232 has both transmit and receive functions so a CD4066 won't work in any way as a receiver because the likely receive voltages it might see could be +/- 15V and this is way beyond the maximum power supply rating of 20V for this device.

As a transmitter it could work because, if you look at the MAX232 spec, it only generates typically +/- 7V on the RS232 transmit side. However, if someone misconnected the port wiring it could easily be destroyed if the receive wiring (potentially capable of +/-15V from some devices) were conencted to the output of the CD4066.

I'm not ruling out that some form of protection could be employed but it's all getting messy so, unless you have a convincing reason to use a CD4066 I would say "no".