Not easily. There are licencing considerations too.
Generally the battery operated transmitter will be a low power like 10mW, and so the range is of the order 30m.
Other issues related to the licencing issue are that the UHF wireless spectrum allocated to these makes it difficult to "build your own". Also they are intended to be only on briefly, now and then, so the band is shared with many others. This is the sort of operation for garage door openers etc.
Look up wireless remote controlled switch. There are a lot of different types of these. The first and second links below are examples and give some information and photos. You can search for more detail, even kits to build these things.
Usually the key fob is the transmitter and operates from an internal battery. It only transmits a brief encoded message according to which button is pressed. You would need to arrange a timer and relay circuit that pressed the button repeatedly, say once every few seconds.
The receiver operates the corresponding decoder output whenever a signal is received. Apart from the data output there is sometimes an RSSI (received signal strength indicator) output pin on the receiver. This is what you want. It seems to be called "Linear output pin; not connected" in the third link. This pin represents the received signal strength as a voltage, so can be used while the encoder output blinks an led at the same time. The signal is a voltage so could drive an analogue voltmeter, bar graph indicator or be converted to a beep pitch etc.
The receiver may run from 5V, so it needs a regulated 5V from a 9V or 12V battery.
See if you can find old wireless doorbells as a source of parts, or search for them on the internet. You need to be prepared to do some extra work, but this is much simpler and cheaper than attempts to build your own UHF radio tx and rx.