nanobots reads: when this character is the only character adjacent to an object not being carried by a character, give the character a free action and remove the object from the game. Heal the character of 2 damage.

so if move a character into a space and there is an object ther i absorb it and heal 2 right. Now lets say i continue my move to another area and there is another object no one else is adjacent can i use nanobots again and heal 2 again?

or

If i land in an area with to objects adjacent to me and no other figures are around can i use them both as long as i havent finished that characters turn yet?

is this legal?

Yes. You can take all the free actions you would like with each character.

Note, though, that you cannot use Nanobots in the middle of an action. In other words, you can absorb an object before and after a move, but not during a move.
Of course, if the character was moved the second time by being taxied by another fig, it would still be legal.