The path at the entrance of our community was bought by real estate developers. Is this feasible?

First of all, you can go to your developer to see the scope of your red line, and then see if the jump lane belongs to the fire escape. If it's a fire escape, nothing can cross it.

Second, anyway, you said that you paid for the repair of the jump lane, so you can produce your valid evidence to prove that you used the money to repair the jump lane, which is yours, not the developer alone. This is your property, and you have the right to take it back because the developer has no right to sell it.