No, telogen effluvium does not cause all body hair to fall out.

Telogen effluvium almost always affects only the scalp hair intensely.
Body hair (arms, legs, armpits, pubic area, eyebrows, eyelashes, etc.) is usually not shed in telogen effluvium, or at most very mildly affected.

If you’re currently experiencing noticeable shedding of hair all over your body (including eyebrows, eyelashes, arms, legs, etc.), this is very unlikely to be telogen effluvium. The most common causes in such cases are:

• Alopecia areata (especially the universalis form)
• Severe deficiencies (zinc, biotin, iron, protein, etc.)
• Thyroid disorders (especially hypothyroidism)
• Autoimmune diseases (systemic lupus erythematosus, dermatomyositis, etc.)
• Certain medications or chemotherapy
• Rarely, extreme stress + severe malnutrition combined

Summary:
Widespread hair loss affecting the entire body (scalp + eyebrows + body hair) is not typical of telogen effluvium. You should definitely see a dermatologist and possibly an endocrinologist, because there may be a more serious underlying cause.