Culturally-Specific or Rare Items
Generally, restrictions on gear are provided in the form of Cost, Rarity, and the details of Star Wars fiction that the group will be using for the campaign. This extends to species traits, the ability to use the Force, and so on.
If an item is considered to be rare, and/or limited to a specific set of individuals, it will indicate this in the write-up for the item. For example, the bowcaster itself (EotE, p160, 162) is listed with:
- High cost
- Rarity 7
- Models notation lists the details that each one is "unique, handmade"
- Item description states they are associated with and distinctive to the Wookies
Similarly, light sabers are 'put beyond reach' with descriptive text, cost, and rarity.
Restricted Items
The R notation for Restricted items is applied to Black Market gear such as some military quality weaponry (light repeating blaster) or items of specific cultural significance (the light saber). These are forbidden to starting characters unless permitted by the GM (such as starting with a light saber in Force & Destiny).
Gaining Gear In Play
None of this prevents a character from picking such a device up on the field of battle, or from a vendor somewhere, but rarity will still apply. Rarity as listed will vary by location and can be modified at GM discretion.
Gear At Start of Play
Creating a backstory does not necessarily provide the freedom to bypass these accessibility details, without GM approval. At start of play, if an item is out of reach either by cost, by ability to acquire it due to rarity (GM ruling), or due to some other condition imposed by the group's specific implementation of Star Wars lore (era of play, for example), it is out of reach.
Generally speaking, cost and being listed as restricted are the limiting factors which see the most use.
If not inaccessible for these reasons, then there is no reason for the character not to start with an item - providing the possession of it makes sense.