I would have to say yes, a very very high probability. Given you are happy with your components sound… great. That is where you want to start.
I do, speaker cables first, then amp power cord, then interconnects, then other power cords.
I would recommend either borrow, rent, or check out some high end speaker cables. Brands that I would try… DHLabs (great value for money, I usually do these until I know where I want to go), Cardas (tend to be very musical and warm), Wire World, AudioQuest, and Transparent cover the gamut.
You have to try them and only buy if you hear a difference worth the investment. It is hard to say, “buy this” because your system isn’t the same as anybody else’s. It makes a difference. I have their many Nordost… some have been the best I ever heard, some OK, and one particular in between my streamer and DAC… simply horrible. I personally use Transparent almost exclusively. They are extremely… well, transparent… but for my components… perfect.
All my interconnects… cables and power cords have provided value commiserate with their price. For instance my speaker cables were $5k, connection $32K speakers with a $22K amp… the increase in performance very much worth the cost. It is not atypical that your wires comprise 10 - 15% of your system. I don’t start working on these until I have the components that sound perfect to me… then I can get another 10 - 20% additional performance out of mt\y system. The better your system, typically the more you can get out of wires.