Yes and no. You can't directly delete missions from the Suggested Missions tab, however, there's a workaround.

PSA: Before you do this, please be careful with this method as you can mistakenly delete important missions you're tracking.

To delete mission suggestions, simply add one of them to your Current Missions after which you can delete that mission.

It disappears from both the Current Missions & Suggested Missions tab. Voila!
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