yes in the fuel tank with a full tank. I clean mine pretty often for a while I was doing it every 3 months but found this to be overkill, so now maybe every 6 months but that's just me. I would recomend at least doing it annually.
I make it regular practice to pop the hood and look at my engine and wires and hoses, fluid levels. I have caught a few things over time, that have probably saved me from more trouble down the road. vehicles need maintenance and care, for instance if a wire is sagging and rubbing on something else that's going to cause a problem later
sometimes I will just pop the hood in the morning while everything is cool and have a coffee and look at everything, look for leaks, looks at the belts, get a rag and wipe stuff down to keep it clean, etc.
It's when you haven't looked under the hood for a long time is when you sometimes find surprises! doesn't matter if it's a new car or a used one
even after taking it in for service I can't tell you how many times I popped the hood in the service drive to check (other peoples work) under the hood and found tools, things disconnected, etc
one time I know I drove around with a big box wrench on a bolt under the truck for a couple weeks and I just happened to be looking under the rear end laying on my back and found it. engine cover missing, caps loose, you name it.......