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Jelly, 6 bytes

OI>0IẠ

Based on @sanchises' answer.

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Explanation

OI>0IẠ Input: string S
O Convert each char in S to an ordinal
 I Get the increments between each pair
 >0 Test if each is positive, 1 if true else 0
 I Get the increments between each pair
 Ạ Test if the list doesn't contain a zero, 1 if true else 0