Can I turn off Seeing the Profile Photo's when at a table?

Yes

When in the Bridge Club press -> Settings -> under Playing Area section -> Turn Player Photos ON or OFF

if it says:   Turn Player Photos OFF
then photos are visible, press the Settings sentence to make photos invisible

if it says:   Turn Player Photos ON 
then photos are not visible, press the Settings sentence to make photos visible

It may take a little time till the server has updated your settings.