yes you can….
Of course, you need a raspberry pi 3
A power supply
A SD card at least 16GB and it is important that it has a good speed of reading / writing.
You will also need a screen and an HDMI cable to display the beautiful Android interface. You can also use the official touch screen of the foundation that does not require the use of an HDMI cable
Then you will need to download the Android image and sh script that will install the Play Store.
This is all taken from the official site, I could send a link where the process is fully described, but for some reason such posts are deleted.