My tv is making a chirping sound with no picture

Sure can as its the most common problem RCA ever had with their tv sets, besides the tuner sheild problem in the past.. Your problem maybe a small coil off the horizontal driver transformer and the other side going to the base of the horizontal output transistor, as the coil needs to be taken out and the leads scraped as at the factory the robot left too much enamial on the coil wire and it causes a bad connection. Problem 2 could be a shorted horizontal output transistor that is shorted and or the main high voltage tranformer/flyback. If you know how to work on tvs then all you gotta do is give the model or chassis # to the parts distributor and they will give a kit with alot of papers to read and follow as well as a small blue cap along with a new transformer and be sure you measure the horizontal output transistor out of the circuit as in circuit it will measure shorted because the horizontal drive transformer to the base of it. Now if your not a tech then your gonna want to take in this set to a pro but let me warn ya its gonna cost between $175.00 to $250.00 bucks to fix.. Good luck