Yes. The same business can appear in both Local Services Ads and other sponsored Google Maps placements, provided it is eligible for each campaign type and has the required setup.
For example, a plumbing company could appear in LSA with a call or message option and also appear through a Google Ads campaign that serves on Maps, such as a Search or Performance Max campaign using location assets. These placements are managed and evaluated separately, so appearing in one does not guarantee visibility in the other.
This can help a business reach customers through different formats, but it can also create overlapping traffic. Track each source separately and compare qualified leads, booked jobs, cost per customer, and revenue to understand whether running both is worthwhile.