Yes, you can receive both phone and message leads through Local Services Ads when those lead options are available for your business category and location. Customers can choose the contact method that works best for them, so your business may receive calls from people who want an immediate answer and messages from customers who prefer to communicate online.
This can help you capture more potential customers, but it also means you need to monitor both channels. Respond quickly to calls and messages, and track which type of lead turns into more booked jobs.
If message leads are not available in your LSA account, the option may depend on your business category, location, or current Google eligibility.