"Whether" and "if" are equal in such contexts. So, yes, it'll do fine. But if you were thinking of not pupping anything instead, then no, either "if" or "whether" must be there anyway.
2019년 10월 30일
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If you remove "whether", you must substitute "if"
It is not clear if the shirt is too big or too small
You have two choices - big or small so you need either "whether" or "if".