You can use Android's TalkBack screen reader with Messages.
Use TalkBack with Messages
You can use TalkBack to send and receive text messages, pictures, videos, and voice recordings in Messages. Learn how to turn on TalkBack on your device.
TalkBack lets you use Messages with its standard gestures and touch exploration. For example, you can swipe down or right to move to the next object on the screen, or double-tap to select an item.