Can you transport Lava in an iron bucket in real life?

Nope. Lava will have to solidify before it is transported, and if it is still a liquid, it will melt the whole bucket and will probably melt off your hands, too.

No
even if the bucket does not melt, you will burn your hand

Yes, the melting point of iron is higher than most lava temperatures. Wrought iron would be even better. Wrought iron has carbon alloyed in and has a higher melting point. There are protective gloves and clothing that would protect you while carrying it.

Other potential bucket materials that would not melt would include palladium, platinum, titanium, steel, vanadium, zirconium (to name a few), and many ceramics (although ceramics are brittle and you wouldn't want to drop it).

When lava is sampled for research, it is usually quenched in water inside a steel can. They quench it to limit oxidation by the atmosphere.

No, you can't.
Video games don't have to be scientifically accurate - you do realize that, right…

We review the lava that is diluted, i.e. At kilauwea. The temperature of the lava to stone shortly before the (visco-elastic skin condition) is about 750-900 ° c.
You must use equipment which has a melting point higher than 1000 ° C and storage device that could hold the temperature remain above 1000 ° c.
But, you can't put it in a long time because the yaour magma will soon form the crystalyzed, especially olivine and pyroxen and then followed by the formation of other mineral2.

in terms of technology, it is very possible to do and certainly a very expensive cost.

for mineracraft would be easier by melting the igneous rocks and then printed or made in accordance with the desired form of art