Hand fed finches can be 'tame'.
They do have a hyper nature- so they won't be tame like a african grey. But more along the lines of a budgie. 'step up' is not really a relative statement. I place my hand in the cage and make a clicking sound. Then they jump up and bounce around- usually trying to get to my shoulder (resting in the neck area). They love to play on my computer while I am typing as the clicking and tapping of my fingers reminds them of foraging.
They sing- with a 'chirp' and 'meep meep beep beep' so they are extremely quiet birds. I can call them from across the room, and they don't have issue with me picking them up. But because of their high metabolisms, they do move quick a bit. I call it 'bouncing' But they do often enjoy little head scratches and 'being' with the family (especially if you are eating tasty food).
However, hand feeding finches is one of the most difficult things a breeder can do. Even experienced parrot breeders have extremely hard times with them. They are extremely delicate and require a massive commitment (try feeding them once an hour- even through the night- feeding is like threading a needle...)
But to answer your question- they can be tame, and they can be lots of fun.
My handfed finches usually go to families with small children. It is a wonderful educational tool that is easy to care for. The children love having them flutter around and land on their arms. My finches however are about twice the size of normal zebra finches through decades of selective breeding- so they are also a bit more husky and less delicate.