Helium doesn't form any compounds, being a noble gas. That is, you can't extract it from any reaction, because you don't have anything that it reacted with already. Also, it would've probably taken much more energy to form that helium compound than it would've to actually extracted it from the atmosphere.
Now, you can produce helium, technically. That's what an alpha particle is: A loose helium nucleus bouncing about. But mucking around with radioactive things is dangerous and can be quite expensive.
As a note, you could probably extract it yourself if you have a natural gas well that you can access directly and a way to separate it out with fractional distillation. Almost all the gasses will condense out before helium does, which means you'll end up with very pure helium left behind, with a minor impurity of neon. This process is dangerous, however, as you'll both be working with very cold temperatures and have liquid methane running amok.
You could probably get a tank from it from a chemistry supply store somewhere. (Party supply stores add oxygen to prevent people from suffocating off of their tanks. The impurity is not insignificant.)
TL;DR: No, unless you're willing to irradiate or freeze yourself.