Of course you can rinse/extract, but you must be very precise.
Pre vaccing is absolutely essential to reduce the risk of wick back.
Pre spray and rinse using minimum moisture and extra drying strokes. Turbo dry if available.
If a suspended floor in particular, make sure all tiles are tightly fitted to avoid water penetration beneath tiles and then into floor void.
Check and cost appropriately if water and toilets are not available on the floor you are working. Hot water may be just a small under sink tank, so check first.
Protect any in-floor sockets and power boxes.
Sometimes, there are specific power points for computers which will not take you equipment. Usually a different design of plug is used, but in older buildings it may be a regular socket so your machines may trip switches. Make sure you know where trips are before you start.
If you have access to a rotary, a cotton pad post-clean will aid drying.
Don't forget safety signs, and print some of your own on yellow paper, tape to appropriate doors etc as required, and leave behind when finished.
Safe and happy cleaning
The Ken