When a baby is 8 months of age then they can have scrambled eggs which make a great finger food for them as well.
You can also feed them the scrambled eggs at 8 months of age and above with a fork or if they are able to feed themselves then they can eat the scrambled eggs on their own when they can.
However for awhile they may make a mess with the scrambled eggs so you might want to feed them the scrambled eggs yourself.
Around 6 months of age you can puree or mash one hard-boiled or scrambled egg and serve it to your baby but wait until 8 months to feed them scrambled eggs.