This is a puzzle but might not have a solution. So "is it possible?" is a proper question.
The puzzle idea was inspired by the question logic problem/puzzle solving, and if the puzzle here turns out to be solvable, this question would be an answer to the linked question. (Hence the cross-link.)
Imagine the following situation:
There is a grid of 6x10 rectangular stones of fields of which some contain 'magical' stones which are solid under specific circumstances (defined below, shown in grey) and 'vacuum' otherwise. The other fields are 'vacuum' all the time.
This field is extended by a top and a bottom row of (6) always solid fields (shown in brown on the bottom, omitted on the top.)
There are 6 "players" which want to get across the field. They can only 'walk' on solid fields and (-this is due to the original puzzle question-) along a given path:
While a player stands still, he sends off six straight rays defined by the diagonals of the fields and a vertical line. (The centre of the rays is always the centre of the field he's standing in, regardless where on the field the player stands.):
Now a stone becomes solid (black) if, and only if, at least two different rays cross over its centre, while rays of a player standing on the platform do not count.
Note that 2 parallel rays are not considered crossing each other.
So the starting position is:
Now the puzzle-question is:
Can you bring all players safely across the field (along the defined path)?
and if not,
Can you bring at least one player safely across the field (along the defined path)?
Notation: Assuming only one player moves at a time, you can note its colour and final position (assuming the path to that one is 'walkable'. See my example answer below.
Hints
When testing a valid move, do it by the following 3 steps:
"Remove" a player and his colour and check which platforms are (still) solid.
Move player along valid, solid path to any position. (Multiple players are allowed on the same field!)
Add player-rays and check which additional platforms are solid.
This is the new "next" starting position. Note down the move and restart from 1.
Thanks to EFrog there is now also a helper tool for checking the situation. (See his answer below for details and instructions.) In accordance to the 4 points above:
Select a colour (click the big square to change colour) to "pick up" a player. Now check which 'path' is available and move the player to the end-position you want. (The tool does not allow going diagonal directly, but the rules allow it where indicated in the pre-given path.) To set-down a player, simply select another player/colour. Using 'black' mean that all players are set-down.