Basically yes, however the sentence construction when using 'give' versus 'make' isn't the same. When you want to suggest something to someone, to avoid being rude and sounding like a know-it-all, we sometimes ask: May I make a suggestion? You would not say 'May I give a suggestion?'. Here is another: I can give you/make some some suggestions of great places to eat when you visit New Orleans. If asking for suggestions from someone else, we might say: I'd appreciate you giving me/making some suggestions regarding ways I might improve my English. Generally, this is the form: give you/give them/give me a/some suggestion(s) make a/some suggestion(s)