Can you give 2 types of insulin together in single syringe.. regular and long lasting?

Yes: There is a lot of brands that combine both.

Only the older types: Insulins n (intermediate-acting) and r (short-acting) can be mixed together in the same syringe immediately before injection (draw up the r first). Newer long-acting insulins like Lantus and levemir, (insulin detemir) and rapid-acting insulins like Humalog and NovoLog can not be mixed in the same syringe, due to their unique properties. Rapid-acting insulins can be mixed with n insulin.