In order to do the tattoo in the first place, most reputable artists transfer their 2D design onto a transfer they put on your skin and follow the lines - so, yes - you could have the whole thing put on, as it should look, via transfer. Usually they use a medium like Spirit Tattoo Transfer Paper, porinted on via a thermal printer. When applied to your skin with a stencil gel, the full design will transfer perfectly.

You could also upload a 2D design art file of your own creation to an online platform handling it to produce a custom temporary tattoo. Websites like Inknation or Momentary Ink do this. They convert your exact art into high-quality, realistic-looking semi-permanent transfers shipped to your door.

Unlike permanent tattooing, this sits on the epidermis and naturally wears off or washes away in 3 to 10 days. Obviously there will be an upfront cost for both the design and transfer, on top of whatever the usual cost of the tattoo, whichever route you go.

Talk to your chosen artist or check the links provided.