Welcome to ETO.
How precise do you mean? A frequency with an error of 1% would be easy, an error of 0.01% more difficult, etc. However, since 100MHz is in the FM band your transmitter would be illegal in many jurisdictions.
Audioguru's idea in post #3 is probably the most direct method. You might do well to read this article and use a 20 MHz, 25 MHz, or 33.3333 MHz crystal in the oscillator. Of course all of the tuned circuits would have to be adjusted for the crystal frequency and transmit frequency.
**broken link removed**8505023.pdf
By the way, even though if modulated the frequency would not be purely and precisely 100 MHz, it would on average be precisely 100 MHz -does that count?