Hi, good news, I found a solution for the problem 
The post might be a bit long, make sure to read the whole post to understand what I changed. I have also added the project with the changes I made.
Here is the whole code:
So, you had put the “head_hitbox” and “Feet_hitbox” on the player by using the “Put object around another” event, But, that was slow and did not always working. So, what I did was that I made points called “Head” and “Feet” on the player and set the position of the hitboxes according to the point.( I have added the points to all the player animations if you want it in the future)
Here is what a “point” is, if you don’t know: Edit Points [GDevelop wiki]
I have also changed the “orgin point” of the hitboxes to the middle so that is it is in the correct place. Then, I changed the angle of the hitboxes to the angle of the player so, that it is aligned.
I made a variable to check if the player is on a meteor. Before, the player will detach when the feet was not in collision. That, made the player not stick to it always. Now, it will only detach if you click
Now it works, here it is in action. The player can still rotate even if it on the meteor, But, you can fix it by adding a condition on the event that rotates the player, to check if the player is not on the meteor (This can be done by check if the variable I added is “False”)
Player still can rotate
It detaches only when clicked
Here are the other problems that I found
- In the “At the beginning of the scene” both the events to change the position of the “cursour flow” object were to set the X position
I did not change it as I thought you might have done it for something in the future.
- You were centering the camera on the player at the beginning of the scene only. That meant that the camera did not center for the rest of the time. I put it be always happen, ( I don’t know if you had meant to do that, But, I still did it as I was not able to see if the problem was solved )
- I found the if you move the mouse close to the player (Which should stop the player from moving) ,the angle of the player resets and not stay in that same angle, which is a bit annoying. Sorry, I didn’t get the time to fix that
Ideas
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Maybe, you should focus the movement of the meteor a bit to the player. Because, most of the time I was sitting there in space and seeing if one comes. I do not mean move all the meteor toward the player, but maybe like 20 degrees toward it and this should not be for all the meteor, it should be random.
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The max speed of the meteor could be a bit more slow.
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Maybe make the player move really slow toward the mouse if the mouse is pressed , So that players can align to stick to the meteor.
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I prefer your controls, it is really easy. Maybe, also add an option to use a keyboard for people who prefer that.
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I suggest mouse click to detach from the meteor, as I can play with one hand and also makes sense with the “Press mouse to move” suggestion that I made.
These are just suggestions from me. It is your decision to add it or not as it is your game 
Here the link to the project with the changes I made, assets - Google Drive
If you have any problems with it, you can post it here. Hope it helps! best of luck!
so I want the player to stick to the meteor when hitbox feet touches it, and stick to it, until player presses space bar, then player jumps into space and gets force and angle of meteor and in the same time meteor changes it’s direction to an opposite. You can only rotate player by using your mouse (my system is super chunky so I would apreciate all new ideas how to make it more efficient) and can’t really move the player, so basicly: you float in space and you can change your direction only by using floating meteors
Thank you so much!