You can promote a CPA offer without a landing page using paid methods like direct linking through Google Ads. But to be honest, you need to build email list of subscribers. You should focus on targeting the right keywords to reach your audience. Facebook Ads also allow you to drive traffic directly to the CPA offer. You need to craft a compelling ad copy to increase clicks. You can use solo ads to drive targeted traffic to your offer. With solo ads, you reach people who are already interested in similar offers. You should track your campaigns closely to see what works best. Optimization is key to getting the best results without a landing page.