Wooah. Hello there..
The straight answer would be - No. It's too complex.
But since I know that if I were you, I would probably not be satisfied with that answer, and demand an instruction so I could choose myself :D
Well first of all, the things you would need is
Antenna, Transceiver, Microprocessor - Not very complex eh?
The problem is, it would be very difficult to build all of this yourself. You would probably end up buying all of them, and then just programming the Microprocessor.
The Antenna would have to be designed for the specific frequency range you would want to transmit on. There are some simple antenna designs, like the inverted F antenna you could look up on. But my advice would be to buy the antenna from farnell.com or perhaps RS components.
The transceiver is a complex piece of hardware. It's purpose is to translate the signals in the air into a bitstream. Also, it will have to translate a bitstream into a signal.
The way it does this is by digital demodulation and digital modulation. If you want you can look up on ASK Modulation (Amplitude Shift Keying), which would be one of the ways to do it.
So the Transceiver spits out a bitstream. This bitstream would then be received by your Microprocessor which can then decode the message depending on how you have decided to arrange the bits in a protocol.
But I would recommend that you buy all of the stuff and then program the Microcontroller. For learning purposes, you could look into the modulation schemes, but I really think it will be problematic, if you haven't learned about Fourier transformations yet.