Final answer:
A formula field cannot count values from multiple records by itself; roll-up summary fields, aggregate functions or custom queries are needed for such operations across multiple records.
Step-by-step explanation:
No, a formula field cannot count the values from multiple records on its own because a formula field operates on a single record level in most database or CRM platforms such as Salesforce. If you need to count values across multiple records, you would generally use a roll-up summary field, aggregate function in a report, or a custom query depending on your system's capabilities. It is important to understand the distinction between a formula field, which derives its value by performing calculations on data within the same record, versus aggregate functions that summarize data across multiple records.