It isn't impossible but it may be impractical.
The problem is heating is by far the greatest consumer of power and the time you need it most is when the least is available. Look at it this way, even for a small green house you probably need at least 1KW of heating (like a small portable domestic electric heater) and your panels in direct sunlight could produce 275W. That means if there were no other losses it would take about 4 hours of direct sunlight to allow 1 hour of heating. In practice, expect maybe 60% - 70% efficiency when you take into account the charger, battery losses and an inverter to step the battery voltage up again so lets say 5 hours of sunlight for 1 hour of heating.
Now you can see the dilemma, in mid winter the days are shortest and the sun is lowest in the sky but the heat demand is highest. To get full power from the PV the panel needs to be directly facing the Sun and at best with a fixed installation you can only achieve that twice a year, that's what some systems use steerable panels but don't go down that route unless you really want a challenge!
What might be more practical is to use PV power to extend the lighting period so your plants think the days are longer, that uses far less power. You would still need a more reliable heating source though.
Brian.
(10 degrees more north than you!)