You can, if you wnt to get ticketed and towed. Sometimes you'll get lucky and just get a ticket. But, there's a huge lot across the road at the ball field. Or on the east side of lake at the boat launch/beach area.
I prefer the ball field lot, and walk out to the point in the left or the yacht club to the right.
It get pretty busy close to shore. A lot of recreational familys out there on a nice day.... I prefer the peace and quiet, and actually like catching fish. Hahaha
Good luck!!