In Short : Yes and No | Why ? Law of Diminishing Returns

Let's talk gear from the start. There's a thing called "Sensor" that's the heart of the camera. This is where the image is formed when light hits it coming through the lens. Have a look at various commercially available sizes and do pay a close attention to the crop factor value. For reference, Usually Full frame is Chosen as a crop factor of 1 and others are rated relatively. The Mantra for the Quality is :

"Lower the Crop Factor, Better Quality you get in Terms of Sharpness, Bokeh and Lesser the Noise"

Sensor Size Comparison (Taken from :https://capturetheatlas.com/camera-sensor-size/)

Now comes the concept of Diminishing returns. To relate, let me give an example : Cars. For each company, we have the cheapest available models, Preferrable models, High end models and then Sports/Luxury models. Now if you compare their performance, the cheapest of them are able to hit 120-140kmph at max, but if you spend double the amount to buy a High end model, it'll give you something like 170-190kmph, not 240-280kmph. This is because after a point, the performance starts to get saturated and starts approaching the possible limits. It's the same idea in photography. One can choose to go for the Camera / Lens combo which gives an optimal performance for the price paid, if not the best. I'm not saying that full frame camera won't be good enough, What I'm saying is that it attracts more price for less improvements (but improvements are still there).

Now, In my personal opinion, An APS-c size sensor is very capable now days given the enhancement in technologies but most of the lenses available for APS-c aren't that sharp enough to make it astonishing. Once you jump to a Full frame camera, the difference is very apparent because having a larger sensor allows them to use lower resolution lenses and still be sharper. I personally use to be an APS-c user for it's size and price advantages, but going Full frame was a whole new domain. I'm able to give better quality images to clients with very good print abilities and future proofing my setup. Yes, It's a big cost for start and If you don't have clients willing to pay for quality, I'd still tell you to keep into APS-C range.

Hope this helps..