No, it is not advisable to do so because your tattoo is still healing and you should not apply anything other than treatment ointment on it. You need to protect your tattoo from the sun and any other situation that might cause irritation especially if it is a colored tattoo. Seek advice from your artist before you go out.
No not really a good idea. After your tattoo heals and you go in the sun you should be putting on sunscreen otherwise it will fade and cost more money to touch sooner than later. Be careful and take care of it.