There are several insects (as well as other wildlife) a plant can fall victim to when growing outdoors. Here you will find explanations of common pests and methods for repelling them.
If left for too long spider mites will begin producing webs on the leaf surface, this should be addressed as soon as possible.
Thrips are mostly recognizable from the damage they do to leaves. Sticky traps are highly effective in reducing thrip numbers
Fungus gnats resemble fruit flies and reproduce by laying eggs in soil. In small numbers they are not very harmful to the cultivars. Neem oil is very effective for removing fungus gnats.
Neem oil is a cold-pressed extract from the seeds of the Neem tree that can be used to remove pests from soil. Neem oil must be mixed into warm soapy water to help emulsify then it can be used as a drench for soil. Very easy and cost effective.
Sticky traps can be used to reduce numbers of almost any insect. This will not remove the root issue but can be a highly effective strategy to manage numbers.
A soap that can be used to kill insects. Less aggressive than a pesticide and some can be made using household ingredients
It's possible to add "good" insects that will hunt the insects you want to remove. This is only recommended for outdoor grows.
Some example predators for spider mites are Phytoseiulus persimilis and Amblyseius californicus.
For Thrips, you might use Amblyseius cucumeris.