Yes you can do pinched or artifiacial harmonics.
I have an Squier Strat, a blue damaged one as my main guitar now and i swear i can do those tricks
. Check out my covers on soundclick.com . Something no oneīs gonna tell you to rip those harms is you need to raise the treble, low the mids and lows (wisely), and raise the compressor and distortion to a HIGH level for that goal. Use high gauge strings on the low E A and D. The pickups Zakk uses are ACTIVE pickups.... lets just say, somehow is cheating, is similar to have a pickup with steroids
but it screw your tone so bad. Thats why he pull out so easy those harmonics. If you can buy a Dimarzio HS-3 on the Bridge position and i swear thatīs all what you could possibly need to achieve, not only good harms but a great tone. Dont trust me? Eric Johnson uses those on a Strat and he creates INCREDIBLE artificial / taped and natural harmonics with that pickup. But, anyway, yea, you need to practice a lot more the pinched harmonics on your Squier. Trust me, you can!