...when I fret strings there is no contact with fingerboard...Is it normal?
Yes, it is normal.
Many (if not most) steel string guitar players have learned to expect to touch the fingerboard with their fingertips. By contrast, classical players are taught not to contact the fretboard, but to only depress the strings far enough to make contact with the fret wire (as your photo clearly shows). This is the "proper" way to fret a note but, thankfully, there are no fret police checking up on anyone here (at least, not yet). ;~}
As 12 String pointed out, when you want to deliberately alter the sound of the note, you can press harder to sharpen it (doing so rapidly can result in a very subtle tremolo effect), just as you can push it sideways to sharpen it (referred to as "bending").
Stretching the string by depressing it just enough to contact the fret wire is all that is needed to sound the note, and this is what has been (or should have been) accommodated for when setting up the guitar to play in tune.
If you are squeezing so hard as to touch the fingerboard you can expect to live with a dramatic case of inharmonicity between notes and chords, even with the finest of compensated setups. Over time, you will wear divots, or shallow pockets in the wood of the fingerboard. While not the end of the world, it is a problem of worsening degree, as you end up having to stretch the string farther and farther to make fingertip contact with the wood beneath.