Yes. An agency can manage your Local Services Ads and Google Ads together, and doing so can make it easier to coordinate budgets, targeting, lead tracking, and follow-up. The agency can manage LSA for direct calls, messages, or bookings while using Google Ads for search traffic, website forms, and other conversion actions.
The important point is that LSA and Google Ads work differently. LSA focuses on eligible local service leads, while Google Ads gives you more control over keywords, ad copy, landing pages, audiences, and conversion tracking. Your agency should manage them as separate channels rather than treating all leads as the same.
Before granting access, make sure the agency has the right permissions for both accounts and your Google Business Profile. Ask them to report qualified leads, booked appointments, cost per customer, close rate, and revenue by source. This helps you see whether the two platforms are complementing each other or competing for the same customers.