You can copy and paste from Win97 to Win93, with some caveats:
1. As Frank mentioned, all of your 16-character alpha tags will be truncated to 12 characters
2. Win93 won't understand LTR trunking or CTCSS/DCS
3. Before pasting any talkgroups, you must set the bank's trunking type and any required fleet map.
4. Channels will only paste one at a time, unless you use something like Excel as an intermediary:
a. select channels in Win97, and copy to clipboard
b. paste into Excel, and ensure the column containing frequencies has 6 digits after the decimal
c. select the channels in Excel (at least the Alpha Tag, Frequency, and RxMode columns)
d. Copy to clipboard and paste into Win93