Not likely

Helium is gathered as a byproduct of natural gas mining operations. So when the natural gas runs out the helium will be quite scarce. When that happens Heli-arc and floaty baloons will be the least of our worries.

Our friends at Wikipedia say this:

"Helium is the second lightest element and is the second most abundant in the observable Universe. Most helium was formed during the Big Bang, but new helium is being created as a result of the nuclear fusion of hydrogen in stars. On Earth, helium is relatively rare and is created by the natural radioactive decay of some elements, as alpha particles that are emitted consist of helium nuclei. This radiogenic helium is trapped with natural gas in concentrations up to seven percent by volume, from which it is extracted commercially by a low-temperature separation process called fractional distillation."