Yes, though it's not as direct as their German ancestry.

Elizabeth I, the last Tudor monarch, died without issue, so the throne passed to James VI of Scotland, the son of her cousin Mary Queen of Scots.

Mary Queen of Scots' grandmother was Margaret Tudor, preserving the Tudor line through the Scottish royal family, the Stuarts, who took over as the English royal family in 1603 after the death of Elizabeth I.

James VI of Scotland became James I of England in and his eldest daughter, Elizabeth Stuart married Frederick V of Bohemia and became Queen of Bohemia.

James I was succeeded by his son Charles I who, after a civil war and the restoration of the monarchy, was succeeded by his son Charles II in 1660. Charles II died leaving no legitimate sons, so the throne went to his uncle James II, a Catholic.

After another revolution James abdicated in favour of his daughter Mary and her Dutch protestant husband, William, who ruled jointly as King and Queen until her death in 1694, then William ruled until his death in 1702. Mary's sister, and James II other daughter, Anne, ruled until she died in 1714 leaving no children.

Now the succession goes back to James I's family, through his eldest daughter Elizabeth Stuart, to her daughter, granddaughter of James I, Sophia of Hanover. Sophia would have succeeded Anne had she not died two months before her, so the throne went to her son, George, who became George I.

The throne passed father to son from George I to George II, from George II to George III, from George III to George IV, from George IV to William IV. William IV died without children, so the throne passed to his brother Edward, who had been dead for 17 years. The throne then went to Edwards daughter, Victoria, though she was unable to inherit the German titles that had been in the family since 1714, they went to her uncle Ernest Augustus. From Victoria it's a more or less straight descendancy to her son Edward VII, to his son George V, to his son Edward VIII who abdicated to marry Wallis Simpson, to his brother George VI, to his daughter Elizabeth II.