No
Baby hamsters cannot be kept together with their mother hamsters after they grow up. Hamsters are solitary animals with a strong sense of territory. Adult hamsters may fight over territory and food, and there is even a possibility that they will eat their own kind. Therefore, in order to avoid conflicts and harm, baby hamsters must be separated from their mother hamsters for rearing after they grow up.

The Rearing Environment and Behavioral Habits of Hamsters
Hamsters have an extremely strong sense of territory. Both male and female hamsters will defend their territory to the death. Even a male and a female hamster may fight over the right to mate during the estrus period or the breeding period. Female hamsters become very nervous and irritable during pregnancy and lactation, and are likely to have conflicts with other hamsters.
Suggestions for Handling Baby Hamsters After They Grow Up
To avoid conflicts and harm, it is best to separate baby hamsters from their mother hamsters for rearing after the babies grow up. Each hamster should have its own independent cage to ensure their living environment and safety. If you need to let two hamsters get familiar with each other, you can gradually allow them to come into contact, but you need to closely observe their behavior. Once abnormal behaviors such as fighting are found, they should be separated immediately.