Yes. Easy in principle, but it depends on how you have built your "Kids TV" view a bit.
Basically, on the last page of the TV Subscription Rule dialogues, you can have MC add any tags you want, based on your rules. Select "Custom" to write values to any tags, for any expression you want.
As you are basing your rule on the channel a recording is made of, you will probably need to use the [Artist] tag to decide what to do. I believe [Artist] is always the channel a program was recorded on, while "Channels" includes all channels in the rule. Hence, [Artist] is the right one to use. You will need to confirm this.
If you are using [Genre] to define what is Kids TV, and hence can appear on the Kids TV View, then [Genre] is the tag to write to.
Without attempting to write the Expression for you, if your Kids TV channels are say 2, 22, 23, 34, then the expression in English would be;
If the [Artist] is 2 or 22 or 23 or 34, then set the [Genre] to "Kids TV".
See how far you get with that, and come back with more information about the View and tag you use for Kids TV.