Why would you suspect not? What are the grounds for that perception?
It sounds like you have very limited understanding of the role Hamas have played in the Gaza Strip over the last 20 years.
Hamas were elected in 2006 on a bare plurality of votes (44% to the more moderate party's 41%) but ended up with a large number of seats due to the way the electoral system functions.
Hamas subsequently took complete control of the Gaza Strip. A civil war ensued and memebers of Fatah, the more moderate party, fled to the West Bank to escape persecution. The Palestinian Territories have remained split ever since, with Hamas ruling Gaza as a dictatorship. This is not what the Palestinian people voted for in 2006.
The only reason an election took place in 2006 with Hamas legally entitled to stand for election is because George W Bush urged the Palestinian Authority to hold elections in a power vacuum, and then took no steps to assist or improve Fatah's prospects of success (via diplomacy or political manoeuvre). Elections are rarely if ever the first step towards achieving a functional democratic process. They should be the culmination of a process. The idea that an election could be held in a power vacuum in a place of huge political turmoil and lead immediately to a straightforward and thriving democracy was profoundly over simplified.
Furthermore, the median age of Gazans is 18, meaning half of the people living in the Gaza Strip weren't even born the last time there was an election. They have lived their entire lives under Hamas rule, being fed Hamas propaganda, and facing consistent oppression and violence from the state of Israel. They have had no alternative but to grow up in an environment constantly reinforcing to them the idea that Hamas are the only alternative to violence from Israel.
And yet despite this, support for Hamas among Palestinian people had dropped to 21% as of a year ago.