How to say ‘freeze tag’ (a game) in Chinese language? If you don’t know this game, please research it before you answer
Freeze tag may not be as well understood as other games, e.g. the normal version of tag (鬼抓人, lit. ghost catches man), or hide-and-seek (捉迷藏) in Chinese. If you do not wish to specify the person tagged must freeze in the name of the game, you may just say 鬼抓人.

Literal translation is possible (凍結標籤, see here). 標籤 means tag or label. 捉捉 in your proposed translation (凍結捉捉) is nonexistent as a word; perhaps it confers a childlike nuance by means of character repetition, but either way, you need to clarify the details of the game should you adopt a literal translation, because otherwise no one would know what it actually is.

Children say 「抓到了，（換）你當鬼！」 (lit. 'Caught you, now it's you're turn to be the ghost!', or equivalently, 'Tag, you're it!') while playing the game. You may consider not naming it at all and let the dialogues reflect the nature of the game. You may also consider adding this to reflect frozenness: 「抓到了，你當鬼，不許動！」 (lit. 'Caught you, you be the ghost, don't move!').

木頭人 (lit. log-like person, see here) and 紅綠燈 (lit. traffic light, see here) are classic games that are understood to require all players except 'the ghost' to freeze from time to time. Of course they are different games from freeze tag, but my point is, none used the 'frozen' analogy - this is a rather foreign concept, and would likely require a literal translation (and explanation) to a Chinese audience.