The answer is probably.
If you are paying cash, of course you may choose.
If you are getting a mortgage, the lender has the right to choose the closer except in the case of an affiliation. If the lender has an interest/affiliated business relationship in the the closing company, they may not require use. You have the right to choose the title insurance company under either circumstance.
Now if you are being told by a seller that you may not choose the closer and you are paying for title insurance, tell them to mind their own business.