yes, it could.
High(0) is lower Low(1) if candle(1) has no low-wick so that Low(1)==Close(1) and the new candle Open(0) opens lower then the close of candle(1). this often happens with momentum-candles. they close without wick/shadow and opens lower/higher 1 Tick and rally/plunge with extended momentum

or with another expression: if (open(0) < close(1)) and (Low(1) == Close(1))

and as a retail-trader we have gaps between friday close and sunday open. this could sometimes in very volatile markets be 30 Pips and more.

does this mean from your answer, that close(1) == open(0) always?