Yes, you could. Also aphids are usually pretty easy to control, being slow and stupid. They will just sit there and let you squish them. I don't like to do it bare handed, so just use a kleenex or paper towel. Go all over the undersides of leaves and the stems. The squished bodies of aphids also act as a deterrent to other aphids (maybe they aren't totally stupid! )
Other than that, Neem oil is recommended, or a soapy water spray. Be sure it is soap not detergent (dish "soap" is usually detergent). Look for something like Dr. Brunner's pure castile soap. Put a little bit in water and spray, being sure to coat the underside of the leaves. Or use a hot pepper spray of garlic and peppers blended in water. I and others have posted several versions of this recipe. Do a search for it.
Here's an article about aphid control:
Predators: Green lacewings, ladybugs and their respective larvae have a voracious appetite for aphids. Larvae from the syrphid fly also consume aphids. Hover flies and praying mantis feed on aphids. [RG note: you can buy many of these, especially ladybugs]
Repellent plants: Anise, chives, coriander (cilantro), garlic, onions, petunias and radish. Nasturtiums act as a trap crop. Aphids definitely prefer yellow flowers.
*Squashing a few aphids around the infested plants releases a chemical signal that makes the other aphids drop from the plants and leave.
*To foil aphids: flatten a square of aluminum foil around the base of plants to bounce light on the undersides of leaves. This also helps the plants in giving them more light.
*Try a barrier of powdered charcoal, calcium dust or bonemeal to keep them away from your plants. [RG note this also keeps the ants away]
*Stinging Nettle Spray: Aphids & Thrips - Cover 1 quart nettles with water, cover and ferment for 3 weeks. Mix 1 part nettle tea with 7 parts water. Spray.
*Spread out a barrier of tansy around the base of the plant to stop those ants. [RG note: or mint or anything else strong smelling]
*Use a spray made from a tea of tomato or potato leaves and water.
Chop 12 or so tomato leaves and 1 chopped onion in 1/2 cup of of 70% isopropyl alcohol for a few minutes. Apply the mixture directly on aphids with a cue tip or paintbrush. [RG note or put the tomato leaves and onion in the hot pepper spray]
*A forceful spray of water is often enough to knock the aphids off the plant and may discourage the ants, well sometimes.
*Put a bright yellow plastic pan in a strategic spot in the garden. Fill it a third of the way full with water. Aphids are drawn to the yellow color, land on the water, sink and drown.
*A soap spray can be used to strip them of their protective wax coating, dehydrating them. Mix 1 tablespoon of Castile soap to 1 gallon of water, spray.
*Garlic oil spray can kill aphids and other soft bodied pests.
A dusting of diatomaceous earth is lethal to aphids. Wear a mask when using DE.
*Place banana peels at the base of infested plant. The peels give them a shot of potassium too!