I am wanting to put in separate switches to control the light and fan on my ceiling fixture. Is there any way to do this without using a dimmer type control?

Can you pull another wire up to the ceiling box from the switch? You need to split your existing hot/black into 2 separate blacks going to each of the two switches. The other screw on each switch will carry to power to the fan and the light separately, only one neutral/white needs to go to the ceiling box where you again split it in 2 with pigtails.

Yes, but it likely involves running new wires through the wall and ceiling. Can you open up the switch and tell me what wires are there? Turn off the circuit breaker before you do it please.

You have (2) options: (1) You will need to run a second hot (black) wire to the ceiling box that will connect to the (probably) blue wire which usually controls the light. This will involve going into the attic to drop the second hot wire into the ceiling box. Leave the white wire alone, the way it is. If you do not want to cut a larger hole in your wall to put in a new electrical box for the second switch to control the light, GE and other manufacturers make a switch that has (2) SPDT toggles in the same switch body. It is designed to operate/control 2 separate functions but is the same size as the single switch you now have. You will still need to run a second hot wire to connect with the 'blue' wire.
>>Your second option - purchase a new ceiling fan that is operated by a wireless remote control. The hand held control is capable to control the fan, leaving the light off, turning on the light, leaving the fan off or having both fan and light on. Using this type of ceiling fan will not require you to run a second hot wire to the ceiling box. The instructions as to how to wire the receiver module that locates within the fan shroud is very user friendly. I have installed (3) ceiling fans of this type, did not have to run additional wires, did not have to go into the attic and they all work just fine. Good Luck.

Consider buying a new 'remote control' ceiling fan with light kit. Hampton Bay and Hunter manufacture such type fan. Home Depot and Lowe's carry them. The wiring instructions for the receiver module that is contained within the fan shroud is very user friendly. Using this type of unit will not require you to run another hot wire from the switch to the ceiling box for the light and will not require an additional switch in the wall. The light and/or fan is controlled from the hand held wireless remote control. I have (3) such type installed in my home and they all work just fine. Mine are Hampton Bay and the remote control has different buttons to push for fan speed as well as light brightness. Good Luck.

What wires do you have in the ceiling where the fixture is connected?

Ceiling fan wiring - Ceiling Fans N More