Chips are either high frequency or low frequency, you can’t reprogram them to change this. In other words, you’ll need two chips. (there’s an implant that has both but check compatibility first)
If you can, use something like a Proxmark to find out the exact chips used in those systems. If you have a phone with NFC, you can use the NFC TagInfo app on your gym card. But do note that phones don’t support low frequency.