No. Your slider will bind.
How can I do to make it unbind
(A) this is a mechanical engineering question, not a SolidWorks question - Out of scope.
(B) based on your model it appears you are a student. If so, you're paying people a lot of money to teach you this stuff. Ask one of them.
Not that I'm any sort of mechanical engineer, BUT, being an ex machinist, I can tell you that your slide rod has only that very small guide to keep it horizontal which won't be enough considering all of the weight at the rear end of the rod. As for how you would eliminate the binding, find a better method of motion or mechanics I guess.
You must to modify your design to make it real....
like a basic idea will be fine....but if need to work on real...change some component for real things....
As I see some components will be rotated on real function, as Dave Bear told you, give extra strenght on some component...change your cylinder by one with anti-rotation
Analize each movement or made a simple test on the shop before you build it...
Pretty good on the motion.
Just need some work to make it work.
If you have 3D printer, print it and see how it work or not work.
This would never work reliably (if at all) in real life.
That "Slider" is the horizontal bar you have that will be pushed down by the cylinder and it's mount.
There will be way too much friction from the downward force to allow it to slide sideways (this is what Josh meant by Binding and Why Paul said to use a Linear Guide (a linear guide will typically be a device that will have ball bearings in a block that will connect to a guide bar, that will allow smooth easy movement in one direction (in this case - sideways).
Another issue is the horizontal bar is (or appears to be) exactly perpendicular to the cylinder movement - in itself there would be only downward force. Changes would be required to make it work smoothly without breaking the linkages or bending bars.
And as Dave Bear said, the surface is too small to give it much of a guide in moving.
Another point is that, with the tremendous forces that this device would exert on the connections between the bars they would fail at the junctions
Do you have SolidWorks Simulation available?
If you do, you will see that there is much to much force put in some areas and it will fail.
I was going to give more detailed pointers but I don't know if you are an engineering student or a SolidWorks student or designing something for yourself outside of school. I get the feeling you are a student, so I am responding that way.
Regardless, the best way to learn is to use the suggestions and research the mechanical requirements to achieve a better understanding of how to make this. If you have SW Simulation, you can use it and modify the design and see how the stresses react or change with your design and the changes you make. If you are an engineering student you should already see and understand what we are talking about (if not, ask your teacher).