Unless someone improves this, you will have no answer because of the stupidity and arrogance of some d!cks on the internet. (by that i mean i deleted the last answer, which said [shortened down] "read a book")
No, lithium and strontium are both metals. Ionic compounds occur between metals and non-metals. They are both positively charged, so an ionic bond would not be attainable.
No, lithium, an alkali metal, and calcium, and alkaline earth metal, do not form an ionic compound. On their own, each is a chemical element, and together they are a mixture, or perhaps an alloy.