It's possible. Currently there are many Democrats who are publicly disagreeing with the President about his economic plan but who would be pro-choice (average social issue). I would think that most people who have those ideas would be conservative Democrats because the GOP is very much in lock step about social issues.
libertarian:
low taxes
low government spending
low government involvement in our personal lives
pro-civil rights
pro-captialism
pro-liberty
pro-self reliance
pro-charity
anti-war
anti-foreign entaglments
There is conservative and there is what is called 'socially conservative' which has overlap. I think government should be small and should not be interfering with personal decisions, both. I find that consistent and call it 'conservative.'