I was curious so I tried.
I took some heavy duty foil (Alcan brand) and smoothed it into shape over the bottom of a pot.
Then I filled it with water.
Then I waited.

No leaks.

So Then I put it on a hot stove element (electric)and the water boiled in about 2 minutes.

No leaks.

___-
What I don't like is how flimsy it is because now I have to move a piece of tinfoil with boiling hot water in it or leave it sitting on the stove till I come back.

So yeah, it worked but it would be a desperation maneuver in the wild just because the foil might not be strong enough to hold the pot shape when full of water.
-----
An hour after boiling, still no leaks.

Emptied it out, filled it and boiled it again.

Still no leaks.

Maybe your aluminum is bad.