pretty much no.
biggest thing impacting your ping is how you are connected to your ISP.
Mobile can be anything from 15ms to 500ms depending on network congestion.
ADSL can be like 30 to 100, depending on line length on copper and the negotiated speed.
Cable modems are also dependant on network congestion.
Fibre is usually lower than others.
It's mainly affected by the hardware being fast enough, based on maximum theoretical speed said hardware is limited to.
in 99% of cases, this is below cat5's 100Mbit/sec usual maximum speed, even though on short distances Cat5 can do gigabit.
in most cases this is also not a cabling limitation but limitation on router/modem ports and hardware.
you could try pinging your router to see how high ping...