If you're using metal (steel) strings, acoustic strings are generally thicker than electric guitar strings. For that reason, string bending is more common with electric guitarists.
The gauge of the string makes a difference in that lighter strings are physically easier to bend (less metal to move about) and are more responsive in that you don't have to bend them so far to get the pitch to rise.
You could try lighter gauge strings but the reason they're thicker on acoustic guitars is that it's the string that generates the sound volume, so the more metal you're moving about, the more sound you'll make. You're likely to find that lighter gauge strings are quieter.
An alternative is to slide up the frets instead. For example if you were going to bend a G up to an A, try just playing the G note and slide the finger along the frets up to an A. You'll get the sound of the note moving up one semitone (a fret) at a time but yif you're playing it quickly, it's not too noticable.
It's a bit fiddly at first but once you get used to it, it can be quite effective.
If you're using nylon strings, you'll find an odd effect comes into play which is that they're generally a lot less responsive to being bent than steel strings are. Again the gauge of the strings plays a part but here the 'sliding' technique might prove a better option.
And yes. . it's hard to convincingly bend acoustic guitar strings !
You are not alone there