Is it normal to gasp for air along with skipping heart beats?

No. Many people have skipped heart beats, as many as 80-90 % of people, almost all of whom have no heart disease at all. Gasping for air is much less commonly associated with skipped beats, many of whom do have significant heart or lung disease.
No. Skipped heart beats are very common, occurring in as many as 80-90% of people, most of whom have no heart disease. Shortness of breath associated with skipped beats is far less common, many of whom have heart disease..