Testing Components on a PCB Without Desoldering

I have a console that is only partially functional. I would like to do the simple checks first and make sure all the capacitors, resistors, etc. on the board are still functional but desoldering, checking and resoldering them all isn't an option as my soldering skills are basic.

Is there any way I can test them for at least continuity between their terminals without potentially causing damage to other parts of the device?