No. It would be too dangerous. The danger doesn't arise from coping with dual causality situations on any of the planets. Matter existing backwards in time is antimatter.
As everybody knows when matter and antimatter meet a lot of gamma radiation happens very quickly. This will be fatal.
Potential colonists will soon be dispersed in the form of rapidly expanding plasma accompanied by large amounts of gamma radiation. This means colonization will be impossible.
There is a good chance no-one will realize the solar system is a place where time flows backwards because all the matter in this solar system will be antimatter. It will be classified as an antimatter solar system.
The relationship between antimatter and time reversal is established by a derivation of the CPT Theorem. (Vide the Wikipedia entry linked above.)
This defines a CPT transformation if we adopt the Feynman-Stueckelberg
interpretation of antiparticles as the corresponding particles
traveling backwards in time. This interpretation requires a slight
analytic continuation, which is well-defined only under the following
The theory is Lorentz invariant;
The vacuum is Lorentz invariant;
The energy is bounded below.
In words, matter moving backwards in time will be antimatter. Therefore, if there is a solar system where time flows backwards its matter will be antimatter.