NO
There are only two molten metals (elemental) that would not instantly deep fry (or deep freeze) a person's skin: gallium and mercury. As you can see in this video (get up to about 6:15), mercury doesn't wet the skin -- it won't stick. And as you can see in this video, the same holds true for gallium. Don't worry about mercury poisoning! Elemental Hg is relatively safe and it takes quite a while for enough to absorb to be dangerous. Ga is non toxic.
As for metal tattoos, that's really not a good idea at all. Injecting oneself with mercury ranks up there withe the best of the Darwin Award winners. In fact, IV injection of Hg is one means of attempted suicide. It's also used in Ayurvedic medicine.
The body can indeed work well with some implanted metals, notably titanium, which is used in fixing fractures. Mercury won't work so well, not only because it will eventually become toxic, but also because it won't form a "tattoo". What will happen is there will eventually form an abscess full of mercury and you'll also have lots of time droplets of mercury spread all along the injection track.
There are some good radiographs in this article and other images in this article showing mercury deposits.
So much for Science.
SURE!
But you're looking at a magical system here, and therein lies the difference. There are metals, bismuth alloys in particular, that have melting points that would be (just barely) tolerable for a biological system, BEND metal, for example. It melts at a little less that 160 degrees -- enough to burn, but if managed should pose no lasting harm.
What they'll need is a kind of biothaumic flux, kind of like how ordinary flux is applied to a surface in order to get solder to bond to it, so biothaumic flux is applied to the skin in order to a) protect it somewhat from the heat of the metal and also b) to help the metal adhere to the skin.
Naturally, the molten metal, whose nature is fiery & electric, will need to be attenuated by the proper bioflux. They'll want its nature to be watery & earthy.
The application of such thaumic tattoos is technically simple, but requires much study & practice by the tattooist in order to get the patterns to go right. Visually, it's not a whole lot different from henna application.