Yes, this is a service your real estate agent can do for you. It's called an "urgent need" letter and targets a specific area in the neighborhood that you request. The letter is customized for you, providing the prospective seller with specifics, such as characteristics, how many bedrooms and baths required, range of size for home and lot, whether you want a fixer-upper or a move in ready ("turn-key") home, etc. I also include a range of price my client might be willing to pay, but I don't like to be too specific because this could indicate a willingness to pay more than what the home could be worth.
Though I mostly work in the Valley of the Moon area in Santa Rosa, Ca, I have clients who are looking in a very specific area of West Petaluma. I send out letters that are customized for my client with the sole purpose of finding the right home for my client, however, if I happen to find a seller or buyer that doesn't meet the criteria, then it's a bonus for me. Everyone wins!