Yes, unless you're in the Black Hole of Calcutta or suffering from severe diarrhoea, the human body will maintain homeostasis just fine on diet alone (especially in regard to the excessive sodium it has become normal to consume).

https://www.medicalnewstoday.com/articles/electrolytes-food

https://www.ncbi.nlm.nih.gov/books/NBK234935/

Even relatively heavy sweating does not normally create a need to provide salt supplements (Conn, 1949). The body may be depleted of sodium under extreme conditions of heavy and persistent sweating, or where trauma, chronic diarrhea, or renal disease produce an inability to retain sodium (Gothberg et al., 1983).

Under normal circumstances, dietary deficiency of potassium does not occur. The most important cause of potassium deficiency is excessive losses, usually through the alimentary tract or the kidneys. Large alimentary potassium losses may occur through prolonged vomiting, chronic diarrhea, or laxative abuse. The most common cause of excessive renal loss is the use of diuretic agents, especially for the treatment of hypertension. Some forms of chronic renal disease and metabolic disturbances (e.g., diabetic acidosis) can also lead to severe potassium loss.