Answer:
Yes, this is possible in RFEM 5 and RSTAB 8. To do this, activate the calculation of Settlement in RF‑/FOUNDATION Pro. The export of the spring stiffness requires a calculation as "rigid plate". You can specify this in the settings for the settlement calculation (see Image 01).
After the calculation, the export option is available using the "File" menu in RF‑/FOUNDATION Pro (see Image 02).
The export of stiffnesses is possible in RFEM 5 and RSTAB 8.