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Based on very little information and you just starting PCB layouts, you may be overthinking this problem or rightly concerned.  There are a lot of fundamentals you might already know about how to make a capacitor and inductor using just a PCB trace and ground plane.  

Generally, ground planes are for products where high-speed or high-frequency signals exist.  I highly recommend you look inside some Japanese products like an old DVD player or look online for some teardowns that include PCB designs.  Here all the high-speed signals are properly taken care of and everything else has no ground plane and might even use a single-sided board with jumpers.

So  you many have over-designed it to not. We cannot assume where you have high speed signals.

See my related answer here https://electrical.codidact.com/posts/293375

  There is also a great tool called Saturn PCB Design Tool I recommend