Am outright lie. The Palestinian Arabs actually petitioned the Brits to limit immigration.
Israel was ancestral Jewish homeland that had been colonised. After the Ottoman Empire collapsed in WWI, there was absolutely no reason the Jews shouldn't be allowed to re-establish a homeland in at least part of the land.
The majority of Mandatory Palestine (Trans Jordan, about half of Israel) was set aside as a Arab state. After the UN vote to partition the land into two sovereign states, the Palestinian Arabs started a civil war against the Palestinian Jews. The Jews fought back, and in the ensuing battles some Arabs lost their homes.
Six months later, in May 1948, when Israel declared independence, the Arab League declared war, in the hope of eliminating Israel. Once again, the Jews fought back, and in that war even more Arabs lost their homes.
When the armistice was reached in 1949, Arabs living within the borders of Israel were granted Israeli citizenship, while those who had been displaced as a result of the war they'd started, were not allowed back in. Understandably.
This is the history of 'Jews stealing Palestinian land' in a nutshell.
As an aside, this is in the Israeli deceleration of independence, written and read out at the time:
WE APPEAL - in the very midst of the onslaught launched against us now for months - to the Arab inhabitants of the State of Israel to preserve peace and participate in the upbuilding of the State on the basis of full and equal citizenship and due representation in all its provisional and permanent institutions.