How to make an electronic suction cup?
Just a note for those who wonder the same and are in need of a vacuum: In theory, you can use Venturi effect (or Bernoulli's Principle; it's basically the same) to create a vacuum. Or go buy an Aspirator pump. Since English is not my native language it's difficult for me to explain it in my own terms, but I'll try to give you a rough idea anyway. (Google it or feel free to answer with a better explanation).

First you need some flow of a fluid or gas (air from a compressor or water from a household outlet are fine). You pass that flow through left-to-right in a T-pipe (I'll call that the "flow pipe"). This will result in a weak vacuum in the orthogonal pipe (I'll call this the "vacuum pipe"), which you can connect to your suction cup.

The strength of the vacuum depends on the pressure in the "flow pipe". That means a higher velocity of your matter in the "flow pipe" is good (either a stronger compressor or smaller diameter of your flow pipe). 

If I understand my physics book correctly, a higher density of the matter in your flow pipe will also produce a stronger vacuum. If you need a really strong vacuum, you could even use a water compressor, i.e. high pressure cleaner; but I suppose even a small air compressor will outperform a household water outlet (and you could toggle it from an Arduino with a relay board).

Since the air in the vacuum pipe expands more than many other materials, you could try to replace it with i.e. oil (be aware you'll pull out some of the air/replacement material at the intersection in aspirator!). This optimization is dangerous with a normal vacuum pump, since these usually break when sucking up fluids into their internals.

Also using an aspirator has the upside of not needing to buy a vacuum pump if you already own a compressor. On the other hand, that setup might be even louder (and possibly less efficient) than a dedicated vacuum pump.