Can't say with absolute certainty without knowing the chainring sizes, and derailleur, but in general, you can go with a larger cassette with few or no complications. In most cases, the derailleurs can handle cassettes up to 26 or 28t, and many derailleurs can handle up to 32 or even 36t.
So depending on the specifics, you have some room without other changes, or more room with some changes. In any case, you may need to replace the chain with a longer one, if it was measured for the minimum length on the existing gear combination.
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