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I think you're just going to have to live with the HP.
You can always ask but doubtful.
Did you get the storecard or the bankcard
Requesting for a new account for credit from lenders allows permission to HP a credit report(s).
You can always call and ask but the likely outcome almost always remains the same.
Advice is approach your plans more strategically. Fairly new profiles get dinged immediately usually around 6 points from a HP but as you march along making payments with the usage of current cards, adding more time and history develops (obviously) until you reach a beakpoint in your profile where the cost drops to 3 instead of 6.
You took a chance. We all do. Sometimes a lender won't HP for a CLI for one but will for another.
Hope that helps.