**Yes, two numbers can have 18 as their highest common factor (HCF) and 380 as their least common multiple (LCM).**

**Explanation:**

To understand this, let's first define what HCF and LCM mean:

- HCF (Highest Common Factor): It is the largest number that divides two or more given numbers without leaving a remainder.
- LCM (Least Common Multiple): It is the smallest number that is divisible by two or more given numbers.

Now, let's proceed step by step to find two numbers that satisfy the given conditions.

Step 1: Prime Factorization of LCM
- We are given that the LCM of the two numbers is 380.
- To find the prime factorization of 380, we divide it by prime numbers until we reach 1.
- Dividing 380 by 2, we get 190.
- Dividing 190 by 2, we get 95.
- Dividing 95 by 5, we get 19.
- Dividing 19 by 19, we get 1.

Therefore, the prime factorization of 380 is 2^2 × 5 × 19.

Step 2: Choosing Factors for HCF
- Since the HCF of the two numbers is 18, we need to choose factors that are common to both numbers and result in a product of 18.
- The prime factorization of 18 is 2 × 3^2.

Step 3: Forming the Numbers
- We need to form two numbers using the prime factors obtained from step 1 and step 2.
- One number should contain all the common factors, and the other number should contain the remaining factors.
- Let's choose the common factors: 2 × 3^2 = 18.
- Let's choose the remaining factors: 2^1 × 5^1 × 19^1 = 190.

Therefore, the two numbers that satisfy the conditions are 18 and 190.

Step 4: Validating the Conditions
- To verify the conditions, we need to check if 18 is the HCF of 18 and 190, and if 380 is the LCM of 18 and 190.
- The HCF of 18 and 190 is indeed 18, as 18 divides both numbers without leaving a remainder.
- The LCM of 18 and 190 is 2^2 × 3^2 × 5 × 19 = 380.

Hence, the two numbers 18 and 190 have 18 as their HCF and 380 as their LCM.

We know that hcf of two no. is also a divisor of lcm but 380 is not completely divisible by 18
hence two numbers cannot have 18 and 380 as their HCF and LCM. respectively