yes, project allows for this. See per-use in help text below. In the tool it is defined on the resource sheet.
What costs does Project allow?
Because cost can be an important aspect of project scheduling and control, Project provides for several different types of costs. With Project, you can enter and track the following types of costs:
Rate-based , a cost that is calculated based on the pay rate(s) (pay rate: Resource cost per hour. Project includes two types of pay rates: standard rates and overtime rates.) specified for a resource (resources: The people, equipment, and material that are used to complete tasks in a project.) and the amount of work (work: For tasks, the total labor required to complete a task. For assignments, the amount of work to which a resource is assigned. For resources, the total amount of work to which a resource is assigned for all tasks. Work is different from task duration.) done
Per-use (per-use cost: A set fee for the use of a resource that can be in place of, or in addition to, a variable. For work resources, a per-use cost accrues each time that the resource is used. For material resources, a per-use cost is accrued only once.), a cost that is incurred each time a resource is used, or once for a particular task (task: An activity that has a beginning and an end. Project plans are made up of tasks.)
Fixed (fixed cost: A set cost for a task that remains constant regardless of the task duration or the work performed by a resource.), a cost that is set for a task and does not change regardless of task duration (duration: The total span of active working time that is required to complete a task. This is generally the amount of working time from the start to finish of a task, as defined by the project and resource calendar.) or the resource work performed
More than one type of cost can be entered for a resource. For example, you might enter an hourly rate for work, but also a fixed cost for travel time.
The different cost types operate somewhat differently depending upon whether the resource is a work resource (person or piece of equipment) or a material resource (material resource: The supplies or other consumable items that are used to complete tasks in a project.). For work resources, the rate is applied per hour or some other unit of time. For material resources, the rate is applied per a specified unit, such as tons or yards.