In order to read it: no. In order to understand why it is built as it is built: yes — but that can be caught up on, and this edition tries to make it easier.
Where the Logic comes through
The order of the Groundlines is not an arrangement by topic but a derivation. Abstract right, morality, ethical life correspond to the course from being through essence to concept in the Logic. Whoever does not know this takes Hegel’s transitions for assertions — „and now comes the next chapter“ — instead of for steps that want to be grounded.
At particular points it becomes unavoidable. § 279, the derivation of the monarch, is conducted purely logically; Hegel says so himself and refers to the ontological proof of God. Whoever reads it there without the Logic sees only an embarrassment.
What you can do instead
Beneath every paragraph of this edition there is a section „The logical development“. It says where in the course you are and why the step falls due at this point. That does not replace the Science of Logic, but it makes visible that the order is not arbitrary.
If you want to tackle the Logic itself: Hegel wrote it twice. The greater Science of Logic (1812–16) is unsuitable as a way in — there are experienced teachers who advise against teaching it at all. The „lesser Logic“, the first part of the Encyclopaedia, is shorter and has oral Additions, but easy it is not either.
The honest answer
One can read the philosophy of right with profit without knowing the Logic — generations of lawyers have done so. One then reads it as an extraordinarily acute theory of property, contract, punishment, the market, poverty and the state. What one does not see is the reason why the parts stand in this order. Whether one misses that is usually noticed only later — and then is the moment to begin the Logic.
Literature. Klaus Vieweg, Das Denken der Freiheit. Hegels Grundlinien der Philosophie des Rechts, Munich 2012; Ludwig Siep (ed.), G. W. F. Hegel, Grundlinien der Philosophie des Rechts (Klassiker Auslegen), Berlin 1997. – For the counter-test: Which conceptual development precedes the philosophy of right? · Kevin Thompson, Hegel’s Theory of Normativity. The Systematic Foundations of the Philosophical Science of Right, Evanston 2019 – the most thorough recent investigation of how the Groundlines ground their propositions and what the presupposition of the concept of right in § 2 means methodologically.