No, it depends on the device. Tuya devices use different kinds of protocols. Also, if you buy the same device twice, there is a chance that one device is working in this app (or the testversion of the app, which is different), and the other one isn’t. Problem is that Tuya uses different device id’s in different lots of produced devices. These device id’s are used by homey to recognise the device.
For zigbee: [APP][Pro] Tuya Zigbee App
or: [APP][Pro] Universal TUYA Zigbee Device App - lite version
For other protocols: [APP][Pro] Tuya Cloud - This app allows you to connect Homey to the Tuya cloud
or: [APP] Tuya - Connect any Tuya device with Homey (by Tuya Inc. / Athom)
So NO, it isn’t either a yes or a no. For homey, you better avoid using Tuya devices, altough (as in my case) you can have devices that function without any problem, you just don’t know before you buy.