I have the typical GE coil stove and yes, it is possible to do a full five gallon boil, even a 90 min boil with 6.5 gallons starting but it will take a long, long time to reach boil. I went for broke one time and did a 6 gallon batch in an 8 gallon kettle with a 7.5 gallon pre-boil volume with a 90 minute boil. I used a second pot to get some of the wort boiling and then added that to the kettle but it still took about 90 minutes to reach boil. I literally went for broke because the weight and hours of heat melted the housing on the connector that powers the coil and shorted the coil and switch. Had to replace the coil, switch and wire harness. Ever since all my batches over three gallons go outside on the turkey fryer I bought shortly afterwards.
Some people have said they can't reach a full boil on a coil stove so the answer for your particular stove may be no. However, for many stoves they do make a canning element that handles more heat and has better support to hold up a heavier kettle. If your stove can accept one of these then you may be able to boil a full batch without fear of blowing out your stove like I did. When I looked into it I found my particular GE model does not support the canning element.