Yes. Google Ads gives you much more control over negative keywords than Local Services Ads. In Google Search campaigns, you can add negative keywords at the campaign or ad-group level and use broad, phrase, or exact match exclusions.
LSA does not work around a traditional keyword list in the same way. Instead, you control relevance mainly through your selected services, job types, service areas, and settings such as broad search.
So, if you want to block specific searches like “free,” “DIY,” or “jobs,” Google Search Ads gives you direct negative-keyword controls, while LSA requires you to manage relevance at the business-profile and targeting level.